2950872960 has 512 divisors, whose sum is σ = 11386137600. Its totient is φ = 635830272.

The previous prime is 2950872959. The next prime is 2950872973. The reversal of 2950872960 is 692780592.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26113864 + ... + 26113976.

It is an arithmetic number, because the mean of its divisors is an integer number (22238550).

Almost surely, 2^2950872960 is an apocalyptic number.

2950872960 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 2950872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5693068800).

2950872960 is an abundant number, since it is smaller than the sum of its proper divisors (8435264640).

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

2950872960 is a wasteful number, since it uses less digits than its factorization.

2950872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 2950872960 is about 54321.9381097545. The cubic root of 2950872960 is about 1434.3335961297. Note that the first 3 decimals are identical.

The spelling of 2950872960 in words is "two billion, nine hundred fifty million, eight hundred seventy-two thousand, nine hundred sixty".