2956648500 has 384 divisors, whose sum is σ = 10919301120. Its totient is φ = 684288000.

The previous prime is 2956648477. The next prime is 2956648531. The reversal of 2956648500 is 58466592.

2956648500 is a `hidden beast` number, since 2 + 9 + 566 + 4 + 85 + 0 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2983005 + ... + 2983995.

It is an arithmetic number, because the mean of its divisors is an integer number (28435680).

Almost surely, 2^2956648500 is an apocalyptic number.

2956648500 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 2956648500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459650560).

2956648500 is an abundant number, since it is smaller than the sum of its proper divisors (7962652620).

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

2956648500 is a wasteful number, since it uses less digits than its factorization.

2956648500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2956648500 is about 54375.0724137449. The cubic root of 2956648500 is about 1435.2687603380.

The spelling of 2956648500 in words is "two billion, nine hundred fifty-six million, six hundred forty-eight thousand, five hundred".