2265262290720 has 2016 divisors, whose sum is σ = 9813207366144. Its totient is φ = 489104179200.

The previous prime is 2265262290719. The next prime is 2265262290737. The reversal of 2265262290720 is 270922625622.

2265262290720 is a `hidden beast` number, since 22 + 65 + 262 + 290 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 6721846392 + ... + 6721846728.

It is an arithmetic number, because the mean of its divisors is an integer number (4867662384).

Almost surely, 2^{2265262290720} is an apocalyptic number.

2265262290720 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 2265262290720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906603683072).

2265262290720 is an abundant number, since it is smaller than the sum of its proper divisors (7547945075424).

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

2265262290720 is a wasteful number, since it uses less digits than its factorization.

2265262290720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2265262290720 in words is "two trillion, two hundred sixty-five billion, two hundred sixty-two million, two hundred ninety thousand, seven hundred twenty".