2280914534400 has 720 divisors, whose sum is σ = 8054022697056. Its totient is φ = 567573217280.

The previous prime is 2280914534399. The next prime is 2280914534449. The reversal of 2280914534400 is 44354190822.

It is a happy number.

It is a super-2 number, since 2×2280914534400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2861874802 + ... + 2861875598.

Almost surely, 2^{2280914534400} is an apocalyptic number.

2280914534400 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 2280914534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027011348528).

2280914534400 is an abundant number, since it is smaller than the sum of its proper divisors (5773108162656).

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

2280914534400 is a wasteful number, since it uses less digits than its factorization.

2280914534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 2280914534400 in words is "two trillion, two hundred eighty billion, nine hundred fourteen million, five hundred thirty-four thousand, four hundred".