2956545648 has 240 divisors, whose sum is σ = 9702950400. Its totient is φ = 823011840.

The previous prime is 2956545623. The next prime is 2956545661. The reversal of 2956545648 is 8465456592.

2956545648 is a `hidden beast` number, since 2 + 9 + 56 + 545 + 6 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2956545594 and 2956545603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7800723 + ... + 7801101.

It is an arithmetic number, because the mean of its divisors is an integer number (40428960).

Almost surely, 2^2956545648 is an apocalyptic number.

2956545648 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 2956545648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4851475200).

2956545648 is an abundant number, since it is smaller than the sum of its proper divisors (6746404752).

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

2956545648 is a wasteful number, since it uses less digits than its factorization.

2956545648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 571 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The square root of 2956545648 is about 54374.1266412620. The cubic root of 2956545648 is about 1435.2521173976.

The spelling of 2956545648 in words is "two billion, nine hundred fifty-six million, five hundred forty-five thousand, six hundred forty-eight".