2876407148160 has 3840 divisors, whose sum is σ = 14050211788800. Its totient is φ = 546554511360.

The previous prime is 2876407148141. The next prime is 2876407148171. The reversal of 2876407148160 is 618417046782.

2876407148160 is a `hidden beast` number, since 2 + 8 + 76 + 407 + 1 + 4 + 8 + 160 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2876407148097 and 2876407148106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 32319181396 + ... + 32319181484.

It is an arithmetic number, because the mean of its divisors is an integer number (3658909320).

Almost surely, 2^{2876407148160} is an apocalyptic number.

2876407148160 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 2876407148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7025105894400).

2876407148160 is an abundant number, since it is smaller than the sum of its proper divisors (11173804640640).

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

2876407148160 is a wasteful number, since it uses less digits than its factorization.

2876407148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 2876407148160 in words is "two trillion, eight hundred seventy-six billion, four hundred seven million, one hundred forty-eight thousand, one hundred sixty".