2931384960 has 768 divisors, whose sum is σ = 12602304000. Its totient is φ = 613122048.

The previous prime is 2931384959. The next prime is 2931384979. The reversal of 2931384960 is 694831392.

It is a happy number.

2931384960 is a `hidden beast` number, since 29 + 3 + 138 + 496 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 26893386 + ... + 26893494.

It is an arithmetic number, because the mean of its divisors is an integer number (16409250).

Almost surely, 2^2931384960 is an apocalyptic number.

2931384960 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 2931384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301152000).

2931384960 is an abundant number, since it is smaller than the sum of its proper divisors (9670919040).

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

2931384960 is a wasteful number, since it uses less digits than its factorization.

2931384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2931384960 is about 54142.2659296783. The cubic root of 2931384960 is about 1431.1691027800.

The spelling of 2931384960 in words is "two billion, nine hundred thirty-one million, three hundred eighty-four thousand, nine hundred sixty".