2262153600 has 576 divisors, whose sum is σ = 9454380000. Its totient is φ = 514805760.

The previous prime is 2262153583. The next prime is 2262153601. The reversal of 2262153600 is 63512622.

2262153600 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 1 + 53 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262153601) 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, 9878286 + ... + 9878514.

Almost surely, 2^2262153600 is an apocalyptic number.

2262153600 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 2262153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727190000).

2262153600 is an abundant number, since it is smaller than the sum of its proper divisors (7192226400).

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

2262153600 is a wasteful number, since it uses less digits than its factorization.

2262153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2262153600 is about 47562.1025607573. The cubic root of 2262153600 is about 1312.7258278087.

The spelling of 2262153600 in words is "two billion, two hundred sixty-two million, one hundred fifty-three thousand, six hundred".