2822878508400 has 180 divisors, whose sum is σ = 9812318822592. Its totient is φ = 751526876160.

The previous prime is 2822878508389. The next prime is 2822878508447. The reversal of 2822878508400 is 48058782282.

2822878508400 is a `hidden beast` number, since 2 + 8 + 2 + 28 + 78 + 508 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1539292 + ... + 2831108.

Almost surely, 2^{2822878508400} is an apocalyptic number.

2822878508400 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 2822878508400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906159411296).

2822878508400 is an abundant number, since it is smaller than the sum of its proper divisors (6989440314192).

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

2822878508400 is a wasteful number, since it uses less digits than its factorization.

2822878508400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292448 (or 1292434 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 2822878508400 in words is "two trillion, eight hundred twenty-two billion, eight hundred seventy-eight million, five hundred eight thousand, four hundred".