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2402040042420 = 2235292311597353
BaseRepresentation
bin100010111101000100101…
…111100101001110110100
322111122002022010010001120
4202331010233211032310
5303323334222324140
65035252034223540
7335353535323434
oct42750457451664
98448068103046
102402040042420
11846776a8a257
12329646424bb0
131456857299b5
148438b9722c4
1542738a481d0
hex22f44be53b4

2402040042420 has 96 divisors (see below), whose sum is σ = 6960655537920. Its totient is φ = 618187637760.

The previous prime is 2402040042379. The next prime is 2402040042427. The reversal of 2402040042420 is 242400402042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2402040042427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3722464 + ... + 4319816.

It is an arithmetic number, because the mean of its divisors is an integer number (72506828520).

Almost surely, 22402040042420 is an apocalyptic number.

2402040042420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2402040042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480327768960).

2402040042420 is an abundant number, since it is smaller than the sum of its proper divisors (4558615495500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2402040042420 is a wasteful number, since it uses less digits than its factorization.

2402040042420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599705 (or 599703 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2402040042420 its reverse (242400402042), we get a palindrome (2644440444462).

The spelling of 2402040042420 in words is "two trillion, four hundred two billion, forty million, forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 2311 4622 6933 9244 11555 13866 23110 27732 34665 46220 67019 69330 134038 138660 201057 268076 335095 402114 597353 670190 804228 1005285 1194706 1340380 1792059 2010570 2389412 2986765 3584118 4021140 5973530 7168236 8960295 11947060 17323237 17920590 34646474 35841180 51969711 69292948 86616185 103939422 173232370 207878844 259848555 346464740 519697110 1039394220 1380482783 2760965566 4141448349 5521931132 6902413915 8282896698 13804827830 16565793396 20707241745 27609655660 40034000707 41414483490 80068001414 82828966980 120102002121 160136002828 200170003535 240204004242 400340007070 480408008484 600510010605 800680014140 1201020021210 2402040042420