2114512400 has 240 divisors, whose sum is σ = 6822146688. Its totient is φ = 608256000.

The previous prime is 2114512391. The next prime is 2114512427. The reversal of 2114512400 is 42154112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397760 + ... + 403040.

Almost surely, 2^2114512400 is an apocalyptic number.

2114512400 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 2114512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411073344).

2114512400 is an abundant number, since it is smaller than the sum of its proper divisors (4707634288).

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

2114512400 is a wasteful number, since it uses less digits than its factorization.

2114512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2114512400 is about 45983.8275918828. The cubic root of 2114512400 is about 1283.5222809818.

Adding to 2114512400 its reverse (42154112), we get a palindrome (2156666512).

The spelling of 2114512400 in words is "two billion, one hundred fourteen million, five hundred twelve thousand, four hundred".