2251352400 has 120 divisors (see below), whose sum is σ = 7867499424. Its totient is φ = 545779200.

The previous prime is 2251352393. The next prime is 2251352407. The reversal of 2251352400 is 42531522.

It is an interprime number because it is at equal distance from previous prime (2251352393) and next prime (2251352407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251352407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72079 + ... + 98478.

Almost surely, 2^2251352400 is an apocalyptic number.

2251352400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2251352400 is an abundant number, since it is smaller than the sum of its proper divisors (5616147024).

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

2251352400 is a wasteful number, since it uses less digits than its factorization.

2251352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170589 (or 170578 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2251352400 is about 47448.4183087276. The cubic root of 2251352400 is about 1310.6331845697.

Adding to 2251352400 its reverse (42531522), we get a palindrome (2293883922).

The spelling of 2251352400 in words is "two billion, two hundred fifty-one million, three hundred fifty-two thousand, four hundred".