2280415134816 has 1152 divisors, whose sum is σ = 8591979432960. Its totient is φ = 582911852544.

The previous prime is 2280415134787. The next prime is 2280415134841. The reversal of 2280415134816 is 6184315140822.

2280415134816 is a `hidden beast` number, since 2 + 2 + 80 + 4 + 1 + 513 + 48 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3952192320 + ... + 3952192896.

It is an arithmetic number, because the mean of its divisors is an integer number (7458315480).

Almost surely, 2^{2280415134816} is an apocalyptic number.

2280415134816 is a gapful number since it is divisible by the number (26) 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 2280415134816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295989716480).

2280415134816 is an abundant number, since it is smaller than the sum of its proper divisors (6311564298144).

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

2280415134816 is a wasteful number, since it uses less digits than its factorization.

2280415134816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 2280415134816 in words is "two trillion, two hundred eighty billion, four hundred fifteen million, one hundred thirty-four thousand, eight hundred sixteen".