2878612992000 has 1248 divisors, whose sum is σ = 11402826611904. Its totient is φ = 721944576000.

The previous prime is 2878612991951. The next prime is 2878612992019. The reversal of 2878612992000 is 2992168782.

2878612992000 is a `hidden beast` number, since 28 + 78 + 61 + 299 + 200 + 0 = 666.

It is a super-2 number, since 2×2878612992000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 2115071320 + ... + 2115072680.

It is an arithmetic number, because the mean of its divisors is an integer number (9136880298).

Almost surely, 2^{2878612992000} is an apocalyptic number.

2878612992000 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 2878612992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5701413305952).

2878612992000 is an abundant number, since it is smaller than the sum of its proper divisors (8524213619904).

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

2878612992000 is an equidigital number, since it uses as much as digits as its factorization.

2878612992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 2878612992000 in words is "two trillion, eight hundred seventy-eight billion, six hundred twelve million, nine hundred ninety-two thousand".