2958631920 has 280 divisors, whose sum is σ = 10439758896. Its totient is φ = 779341824.

The previous prime is 2958631919. The next prime is 2958631927. The reversal of 2958631920 is 291368592.

2958631920 is a `hidden beast` number, since 2 + 9 + 5 + 8 + 631 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2958631927) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5656779 + ... + 5657301.

Almost surely, 2^2958631920 is an apocalyptic number.

2958631920 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 2958631920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5219879448).

2958631920 is an abundant number, since it is smaller than the sum of its proper divisors (7481126976).

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

2958631920 is an equidigital number, since it uses as much as digits as its factorization.

2958631920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2958631920 is about 54393.3076765883. The cubic root of 2958631920 is about 1435.5896309047.

The spelling of 2958631920 in words is "two billion, nine hundred fifty-eight million, six hundred thirty-one thousand, nine hundred twenty".