2251454600 has 96 divisors (see below), whose sum is σ = 5338720800. Its totient is φ = 882816000.

The previous prime is 2251454599. The next prime is 2251454617. The reversal of 2251454600 is 64541522.

It is a super-2 number, since 2×2251454600² = 10138095631722320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5373191 + ... + 5373609.

It is an arithmetic number, because the mean of its divisors is an integer number (55611675).

Almost surely, 2^2251454600 is an apocalyptic number.

2251454600 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 2251454600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669360400).

2251454600 is an abundant number, since it is smaller than the sum of its proper divisors (3087266200).

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

2251454600 is a wasteful number, since it uses less digits than its factorization.

2251454600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 2251454600 is about 47449.4952554819. The cubic root of 2251454600 is about 1310.6530163064.

The spelling of 2251454600 in words is "two billion, two hundred fifty-one million, four hundred fifty-four thousand, six hundred".