2151502400 has 84 divisors (see below), whose sum is σ = 5303375220. Its totient is φ = 859084800.

The previous prime is 2151502399. The next prime is 2151502417. The reversal of 2151502400 is 42051512.

It can be written as a sum of positive squares in 6 ways, for example, as 242861056 + 1908641344 = 15584^2 + 43688^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1504886 + ... + 1506314.

Almost surely, 2^2151502400 is an apocalyptic number.

2151502400 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 2151502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651687610).

2151502400 is an abundant number, since it is smaller than the sum of its proper divisors (3151872820).

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

2151502400 is a wasteful number, since it uses less digits than its factorization.

2151502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2151502400 is about 46384.2904440717. The cubic root of 2151502400 is about 1290.9634450793.

Adding to 2151502400 its reverse (42051512), we get a palindrome (2193553912).

The spelling of 2151502400 in words is "two billion, one hundred fifty-one million, five hundred two thousand, four hundred".