2870974858752 has 1920 divisors, whose sum is σ = 11764901998080. Its totient is φ = 679450705920.

The previous prime is 2870974858729. The next prime is 2870974858819. The reversal of 2870974858752 is 2578584790782.

2870974858752 is a `hidden beast` number, since 2 + 8 + 7 + 0 + 97 + 485 + 8 + 7 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 10364530038 + ... + 10364530314.

It is an arithmetic number, because the mean of its divisors is an integer number (6127553124).

Almost surely, 2^{2870974858752} is an apocalyptic number.

2870974858752 is a gapful number since it is divisible by the number (22) 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 2870974858752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5882450999040).

2870974858752 is an abundant number, since it is smaller than the sum of its proper divisors (8893927139328).

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

2870974858752 is a wasteful number, since it uses less digits than its factorization.

2870974858752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 632217600, while the sum is 72.

The spelling of 2870974858752 in words is "two trillion, eight hundred seventy billion, nine hundred seventy-four million, eight hundred fifty-eight thousand, seven hundred fifty-two".