2874776002560 has 2688 divisors, whose sum is σ = 13409948418048. Its totient is φ = 578086502400.

The previous prime is 2874776002541. The next prime is 2874776002573. The reversal of 2874776002560 is 652006774782.

2874776002560 is a `hidden beast` number, since 2 + 8 + 7 + 4 + 7 + 7 + 600 + 25 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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 = 2874776002497 and 2874776002506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92734709745 + ... + 92734709775.

It is an arithmetic number, because the mean of its divisors is an integer number (4988820096).

Almost surely, 2^{2874776002560} is an apocalyptic number.

2874776002560 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 2874776002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6704974209024).

2874776002560 is an abundant number, since it is smaller than the sum of its proper divisors (10535172415488).

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

2874776002560 is an frugal number, since it uses more digits than its factorization.

2874776002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 2874776002560 in words is "two trillion, eight hundred seventy-four billion, seven hundred seventy-six million, two thousand, five hundred sixty".