2956289952 has 576 divisors, whose sum is σ = 10810920960. Its totient is φ = 696729600.

The previous prime is 2956289951. The next prime is 2956290013. The reversal of 2956289952 is 2599826592.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 2956289892 and 2956289901.

It is not an unprimeable number, because it can be changed into a prime (2956289951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30477168 + ... + 30477264.

It is an arithmetic number, because the mean of its divisors is an integer number (18768960).

Almost surely, 2^2956289952 is an apocalyptic number.

2956289952 is a gapful number since it is divisible by the number (22) 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 2956289952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405460480).

2956289952 is an abundant number, since it is smaller than the sum of its proper divisors (7854631008).

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

2956289952 is a wasteful number, since it uses less digits than its factorization.

2956289952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 170 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 57.

The square root of 2956289952 is about 54371.7753250710. The cubic root of 2956289952 is about 1435.2107404159.

The spelling of 2956289952 in words is "two billion, nine hundred fifty-six million, two hundred eighty-nine thousand, nine hundred fifty-two".