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2042402240 = 2657618387
BaseRepresentation
bin111100110111100…
…1001010111000000
312021100010210011102
41321233021113000
513140323332430
6534355433532
7101420063324
oct17157112700
95240123142
102042402240
1195897903a
1248bbb58a8
132671a2448
14155375984
15be48b345
hex79bc95c0

2042402240 has 56 divisors (see below), whose sum is σ = 4870441872. Its totient is φ = 815790080.

The previous prime is 2042402239. The next prime is 2042402251. The reversal of 2042402240 is 422042402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239327 + ... + 247713.

Almost surely, 22042402240 is an apocalyptic number.

2042402240 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 2042402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435220936).

2042402240 is an abundant number, since it is smaller than the sum of its proper divisors (2828039632).

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

2042402240 is an equidigital number, since it uses as much as digits as its factorization.

2042402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9165 (or 9155 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2042402240 is about 45192.9445820916. The cubic root of 2042402240 is about 1268.7627688783.

Adding to 2042402240 its reverse (422042402), we get a palindrome (2464444642).

The spelling of 2042402240 in words is "two billion, forty-two million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 761 1522 3044 3805 6088 7610 8387 12176 15220 16774 24352 30440 33548 41935 48704 60880 67096 83870 121760 134192 167740 243520 268384 335480 536768 670960 1341920 2683840 6382507 12765014 25530028 31912535 51060056 63825070 102120112 127650140 204240224 255300280 408480448 510600560 1021201120 2042402240