2262363600 has 240 divisors, whose sum is σ = 8485706880. Its totient is φ = 504422400.

The previous prime is 2262363599. The next prime is 2262363613. The reversal of 2262363600 is 63632622.

2262363600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341116 + ... + 347684.

It is an arithmetic number, because the mean of its divisors is an integer number (35357112).

Almost surely, 2^2262363600 is an apocalyptic number.

2262363600 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 2262363600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242853440).

2262363600 is an abundant number, since it is smaller than the sum of its proper divisors (6223343280).

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

2262363600 is a wasteful number, since it uses less digits than its factorization.

2262363600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6638 (or 6627 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 2262363600 is about 47564.3101495228. The cubic root of 2262363600 is about 1312.7664474928.

The spelling of 2262363600 in words is "two billion, two hundred sixty-two million, three hundred sixty-three thousand, six hundred".