2265336460800 has 2400 divisors, whose sum is σ = 10273331464704. Its totient is φ = 481738752000.

The previous prime is 2265336460799. The next prime is 2265336460813. The reversal of 2265336460800 is 80646335622.

It is a happy number.

2265336460800 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 3 + 36 + 4 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6843916635 + ... + 6843916965.

Almost surely, 2^{2265336460800} is an apocalyptic number.

2265336460800 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 2265336460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136665732352).

2265336460800 is an abundant number, since it is smaller than the sum of its proper divisors (8007995003904).

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

2265336460800 is a wasteful number, since it uses less digits than its factorization.

2265336460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 2265336460800 in words is "two trillion, two hundred sixty-five billion, three hundred thirty-six million, four hundred sixty thousand, eight hundred".