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2040022040 = 235718140253
BaseRepresentation
bin111100110011000…
…0100010000011000
312021011122212010212
41321212010100120
513134221201130
6534232430252
7101360621060
oct17146042030
95234585125
102040022040
119575a2831
1248b248388
1326684ac44
14154d163a0
15be16ae95
hex79984418

2040022040 has 64 divisors (see below), whose sum is σ = 5274884160. Its totient is φ = 695554560.

The previous prime is 2040022037. The next prime is 2040022051. The reversal of 2040022040 is 402200402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30554 + ... + 70806.

It is an arithmetic number, because the mean of its divisors is an integer number (82420065).

Almost surely, 22040022040 is an apocalyptic number.

2040022040 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 2040022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637442080).

2040022040 is an abundant number, since it is smaller than the sum of its proper divisors (3234862120).

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

2040022040 is a wasteful number, since it uses less digits than its factorization.

2040022040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40452 (or 40448 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2040022040 is about 45166.6031487868. The cubic root of 2040022040 is about 1268.2697084729.

Adding to 2040022040 its reverse (402200402), we get a palindrome (2442222442).

The spelling of 2040022040 in words is "two billion, forty million, twenty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 181 280 362 724 905 1267 1448 1810 2534 3620 5068 6335 7240 10136 12670 25340 40253 50680 80506 161012 201265 281771 322024 402530 563542 805060 1127084 1408855 1610120 2254168 2817710 5635420 7285793 11270840 14571586 29143172 36428965 51000551 58286344 72857930 102001102 145715860 204002204 255002755 291431720 408004408 510005510 1020011020 2040022040