2956838900 has 144 divisors (see below), whose sum is σ = 7384527360. Its totient is φ = 1020211200.

The previous prime is 2956838897. The next prime is 2956838903. The reversal of 2956838900 is 98386592.

It is an interprime number because it is at equal distance from previous prime (2956838897) and next prime (2956838903).

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 (2956838903) 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, 999824 + ... + 1002776.

It is an arithmetic number, because the mean of its divisors is an integer number (51281440).

Almost surely, 2^2956838900 is an apocalyptic number.

2956838900 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 2956838900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692263680).

2956838900 is an abundant number, since it is smaller than the sum of its proper divisors (4427688460).

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

2956838900 is a wasteful number, since it uses less digits than its factorization.

2956838900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The square root of 2956838900 is about 54376.8231878252. The cubic root of 2956838900 is about 1435.2995687918.

The spelling of 2956838900 in words is "two billion, nine hundred fifty-six million, eight hundred thirty-eight thousand, nine hundred".