2956874900 has 144 divisors (see below), whose sum is σ = 7559516160. Its totient is φ = 982809600.

The previous prime is 2956874831. The next prime is 2956874909. The reversal of 2956874900 is 94786592.

It is a happy number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2956874909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7720109 + ... + 7720491.

It is an arithmetic number, because the mean of its divisors is an integer number (52496640).

Almost surely, 2^2956874900 is an apocalyptic number.

2956874900 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 2956874900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779758080).

2956874900 is an abundant number, since it is smaller than the sum of its proper divisors (4602641260).

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

2956874900 is a wasteful number, since it uses less digits than its factorization.

2956874900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The square root of 2956874900 is about 54377.1542102012. The cubic root of 2956874900 is about 1435.3053937710.

The spelling of 2956874900 in words is "two billion, nine hundred fifty-six million, eight hundred seventy-four thousand, nine hundred".