2956005864 has 192 divisors, whose sum is σ = 9867312000. Its totient is φ = 780503040.

The previous prime is 2956005853. The next prime is 2956005901. The reversal of 2956005864 is 4685006592.

2956005864 is a `hidden beast` number, since 2 + 9 + 5 + 60 + 0 + 586 + 4 = 666.

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, 388852 + ... + 396380.

It is an arithmetic number, because the mean of its divisors is an integer number (51392250).

Almost surely, 2^2956005864 is an apocalyptic number.

2956005864 is a gapful number since it is divisible by the number (24) 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 2956005864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933656000).

2956005864 is an abundant number, since it is smaller than the sum of its proper divisors (6911306136).

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

2956005864 is a wasteful number, since it uses less digits than its factorization.

2956005864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7608 (or 7601 counting only the distinct ones).

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

The square root of 2956005864 is about 54369.1628039277. The cubic root of 2956005864 is about 1435.1647662144.

The spelling of 2956005864 in words is "two billion, nine hundred fifty-six million, five thousand, eight hundred sixty-four".