2151302400 has 648 divisors, whose sum is σ = 8822169720. Its totient is φ = 498401280.

The previous prime is 2151302399. The next prime is 2151302407. The reversal of 2151302400 is 42031512.

It can be written as a sum of positive squares in 12 ways, for example, as 2061886464 + 89415936 = 45408^2 + 9456^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151302407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 126547192 + ... + 126547208.

Almost surely, 2^2151302400 is an apocalyptic number.

2151302400 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 2151302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411084860).

2151302400 is an abundant number, since it is smaller than the sum of its proper divisors (6670867320).

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

2151302400 is a wasteful number, since it uses less digits than its factorization.

2151302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2151302400 is about 46382.1344916337. The cubic root of 2151302400 is about 1290.9234419185.

Adding to 2151302400 its reverse (42031512), we get a palindrome (2193333912).

The spelling of 2151302400 in words is "two billion, one hundred fifty-one million, three hundred two thousand, four hundred".