2815283816400 has 240 divisors, whose sum is σ = 9919449811008. Its totient is φ = 682492659200.

The previous prime is 2815283816357. The next prime is 2815283816431. The reversal of 2815283816400 is 46183825182.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2815283816400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 715882 + ... + 2478518.

Almost surely, 2^{2815283816400} is an apocalyptic number.

2815283816400 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 2815283816400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959724905504).

2815283816400 is an abundant number, since it is smaller than the sum of its proper divisors (7104165994608).

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

2815283816400 is a wasteful number, since it uses less digits than its factorization.

2815283816400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762691 (or 1762658 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 2815283816400 in words is "two trillion, eight hundred fifteen billion, two hundred eighty-three million, eight hundred sixteen thousand, four hundred".