2931975648 has 144 divisors (see below), whose sum is σ = 9547495776. Its totient is φ = 836075520.

The previous prime is 2931975619. The next prime is 2931975701. The reversal of 2931975648 is 8465791392.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×2931975648⁴ (a number of 39 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2931975594 and 2931975603.

It is a congruent number.

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, 1355688 + ... + 1357848.

It is an arithmetic number, because the mean of its divisors is an integer number (66302054).

Almost surely, 2^2931975648 is an apocalyptic number.

2931975648 is a gapful number since it is divisible by the number (28) 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 2931975648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4773747888).

2931975648 is an abundant number, since it is smaller than the sum of its proper divisors (6615520128).

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

2931975648 is a wasteful number, since it uses less digits than its factorization.

2931975648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2846 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 2931975648 is about 54147.7206168459. The cubic root of 2931975648 is about 1431.2652254490.

The spelling of 2931975648 in words is "two billion, nine hundred thirty-one million, nine hundred seventy-five thousand, six hundred forty-eight".