2876148241920 has 640 divisors, whose sum is σ = 10496421936000. Its totient is φ = 746056581120.

The previous prime is 2876148241853. The next prime is 2876148241963. The reversal of 2876148241920 is 291428416782.

2876148241920 is a `hidden beast` number, since 2 + 8 + 7 + 614 + 8 + 2 + 4 + 19 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1102393576 + ... + 1102396184.

It is an arithmetic number, because the mean of its divisors is an integer number (16400659275).

Almost surely, 2^{2876148241920} is an apocalyptic number.

2876148241920 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 2876148241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248210968000).

2876148241920 is an abundant number, since it is smaller than the sum of its proper divisors (7620273694080).

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

2876148241920 is a wasteful number, since it uses less digits than its factorization.

2876148241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3071 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 2876148241920 in words is "two trillion, eight hundred seventy-six billion, one hundred forty-eight million, two hundred forty-one thousand, nine hundred twenty".