1957278560 has 24 divisors (see below), whose sum is σ = 4624070976. Its totient is φ = 782911360.

The previous prime is 1957278553. The next prime is 1957278563. The reversal of 1957278560 is 658727591.

It is a super-2 number, since 2×1957278560² = 7661878722871347200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1957278499 and 1957278508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1957278563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6116336 + ... + 6116655.

It is an arithmetic number, because the mean of its divisors is an integer number (192669624).

Almost surely, 2^1957278560 is an apocalyptic number.

1957278560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1957278560 is an abundant number, since it is smaller than the sum of its proper divisors (2666792416).

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

1957278560 is a wasteful number, since it uses less digits than its factorization.

1957278560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12233006 (or 12232998 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 50.

The square root of 1957278560 is about 44241.1410341099. The cubic root of 1957278560 is about 1250.8854654127.

The spelling of 1957278560 in words is "one billion, nine hundred fifty-seven million, two hundred seventy-eight thousand, five hundred sixty".