2151752400 has 360 divisors, whose sum is σ = 8627166080. Its totient is φ = 486466560.

The previous prime is 2151752381. The next prime is 2151752417. The reversal of 2151752400 is 42571512.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2595186 + ... + 2596014.

Almost surely, 2^2151752400 is an apocalyptic number.

2151752400 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 2151752400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313583040).

2151752400 is an abundant number, since it is smaller than the sum of its proper divisors (6475413680).

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

2151752400 is a wasteful number, since it uses less digits than its factorization.

2151752400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 2151752400 is about 46386.9852437082. The cubic root of 2151752400 is about 1291.0134455443.

The spelling of 2151752400 in words is "two billion, one hundred fifty-one million, seven hundred fifty-two thousand, four hundred".