2874807786240 has 2592 divisors, whose sum is σ = 12323966054400. Its totient is φ = 614873825280.

The previous prime is 2874807786223. The next prime is 2874807786251. The reversal of 2874807786240 is 426877084782.

2874807786240 is a `hidden beast` number, since 2 + 8 + 7 + 480 + 77 + 86 + 2 + 4 + 0 = 666.

2874807786240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2874807786240² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 26374383306 + ... + 26374383414.

Almost surely, 2^{2874807786240} is an apocalyptic number.

2874807786240 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 2874807786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6161983027200).

2874807786240 is an abundant number, since it is smaller than the sum of its proper divisors (9449158268160).

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

2874807786240 is a wasteful number, since it uses less digits than its factorization.

2874807786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 67436544, while the sum is 63.

The spelling of 2874807786240 in words is "two trillion, eight hundred seventy-four billion, eight hundred seven million, seven hundred eighty-six thousand, two hundred forty".