1957626240 has 256 divisors, whose sum is σ = 6644851200. Its totient is φ = 488816640.

The previous prime is 1957626217. The next prime is 1957626247. The reversal of 1957626240 is 426267591.

It is a junction number, because it is equal to n+sod(n) for n = 1957626192 and 1957626201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1957626247) 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, 3757180 + ... + 3757700.

It is an arithmetic number, because the mean of its divisors is an integer number (25956450).

Almost surely, 2^1957626240 is an apocalyptic number.

1957626240 is a gapful number since it is divisible by the number (10) 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 1957626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322425600).

1957626240 is an abundant number, since it is smaller than the sum of its proper divisors (4687224960).

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

1957626240 is a wasteful number, since it uses less digits than its factorization.

1957626240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 1957626240 is about 44245.0702338690. The cubic root of 1957626240 is about 1250.9595277900.

The spelling of 1957626240 in words is "one billion, nine hundred fifty-seven million, six hundred twenty-six thousand, two hundred forty".