2882153912400 has 720 divisors, whose sum is σ = 11956408044480. Its totient is φ = 657495014400.

The previous prime is 2882153912399. The next prime is 2882153912431. The reversal of 2882153912400 is 42193512882.

2882153912400 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 15 + 391 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2882153912400² (a number of 26 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 286292167 + ... + 286302233.

It is an arithmetic number, because the mean of its divisors is an integer number (16606122284).

Almost surely, 2^{2882153912400} is an apocalyptic number.

2882153912400 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 2882153912400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978204022240).

2882153912400 is an abundant number, since it is smaller than the sum of its proper divisors (9074254132080).

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

2882153912400 is a wasteful number, since it uses less digits than its factorization.

2882153912400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10649 (or 10625 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2882153912400 in words is "two trillion, eight hundred eighty-two billion, one hundred fifty-three million, nine hundred twelve thousand, four hundred".