2948710957920 has 3072 divisors, whose sum is σ = 14248956395520. Its totient is φ = 551809843200.

The previous prime is 2948710957919. The next prime is 2948710957931. The reversal of 2948710957920 is 297590178492.

2948710957920 is a `hidden beast` number, since 2 + 9 + 48 + 7 + 10 + 9 + 579 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 8908492155 + ... + 8908492485.

It is an arithmetic number, because the mean of its divisors is an integer number (4638332160).

Almost surely, 2^{2948710957920} is an apocalyptic number.

2948710957920 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 2948710957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124478197760).

2948710957920 is an abundant number, since it is smaller than the sum of its proper divisors (11300245437600).

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

2948710957920 is a wasteful number, since it uses less digits than its factorization.

2948710957920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 2948710957920 in words is "two trillion, nine hundred forty-eight billion, seven hundred ten million, nine hundred fifty-seven thousand, nine hundred twenty".