2265202336320 has 672 divisors, whose sum is σ = 9751079669760. Its totient is φ = 468889620480.

The previous prime is 2265202336303. The next prime is 2265202336409. The reversal of 2265202336320 is 236332025622.

2265202336320 is a `hidden beast` number, since 2 + 26 + 520 + 2 + 33 + 63 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2265202336320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58303461 + ... + 58342299.

Almost surely, 2^{2265202336320} is an apocalyptic number.

2265202336320 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 2265202336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875539834880).

2265202336320 is an abundant number, since it is smaller than the sum of its proper divisors (7485877333440).

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

2265202336320 is a wasteful number, since it uses less digits than its factorization.

2265202336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39143 (or 39130 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 2265202336320 in words is "two trillion, two hundred sixty-five billion, two hundred two million, three hundred thirty-six thousand, three hundred twenty".