2156930400 has 288 divisors, whose sum is σ = 7397526528. Its totient is φ = 545126400.

The previous prime is 2156930393. The next prime is 2156930401. The reversal of 2156930400 is 40396512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2156930401) 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, 3942927 + ... + 3943473.

It is an arithmetic number, because the mean of its divisors is an integer number (25685856).

Almost surely, 2^2156930400 is an apocalyptic number.

2156930400 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 2156930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698763264).

2156930400 is an abundant number, since it is smaller than the sum of its proper divisors (5240596128).

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

2156930400 is a wasteful number, since it uses less digits than its factorization.

2156930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2156930400 is about 46442.7647755816. The cubic root of 2156930400 is about 1292.0481855078.

The spelling of 2156930400 in words is "two billion, one hundred fifty-six million, nine hundred thirty thousand, four hundred".