1957977840 has 320 divisors, whose sum is σ = 7675508736. Its totient is φ = 401780736.

The previous prime is 1957977811. The next prime is 1957977851. The reversal of 1957977840 is 487797591.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 806869 + ... + 809291.

Almost surely, 2^1957977840 is an apocalyptic number.

1957977840 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 1957977840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837754368).

1957977840 is an abundant number, since it is smaller than the sum of its proper divisors (5717530896).

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

1957977840 is a wasteful number, since it uses less digits than its factorization.

1957977840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 57.

The square root of 1957977840 is about 44249.0433794901. The cubic root of 1957977840 is about 1251.0344162836.

The spelling of 1957977840 in words is "one billion, nine hundred fifty-seven million, nine hundred seventy-seven thousand, eight hundred forty".