1931379840 has 192 divisors, whose sum is σ = 7182597240. Its totient is φ = 475398144.

The previous prime is 1931379803. The next prime is 1931379859. The reversal of 1931379840 is 489731391.

It can be written as a sum of positive squares in 4 ways, for example, as 718668864 + 1212710976 = 26808^2 + 34824^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61984 + ... + 87776.

Almost surely, 2^1931379840 is an apocalyptic number.

1931379840 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 1931379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591298620).

1931379840 is an abundant number, since it is smaller than the sum of its proper divisors (5251217400).

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

1931379840 is a wasteful number, since it uses less digits than its factorization.

1931379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25831 (or 25816 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1931379840 is about 43947.4668211946. The cubic root of 1931379840 is about 1245.3437092351.

The spelling of 1931379840 in words is "one billion, nine hundred thirty-one million, three hundred seventy-nine thousand, eight hundred forty".