2874574993248 has 288 divisors, whose sum is σ = 9399178414080. Its totient is φ = 816326138880.

The previous prime is 2874574993223. The next prime is 2874574993267. The reversal of 2874574993248 is 8423994754782.

It is a happy number.

2874574993248 is a `hidden beast` number, since 2 + 8 + 7 + 4 + 574 + 9 + 9 + 3 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268370613 + ... + 268381323.

It is an arithmetic number, because the mean of its divisors is an integer number (32636036160).

Almost surely, 2^{2874574993248} is an apocalyptic number.

2874574993248 is a gapful number since it is divisible by the number (28) 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 2874574993248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4699589207040).

2874574993248 is an abundant number, since it is smaller than the sum of its proper divisors (6524603420832).

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

2874574993248 is a wasteful number, since it uses less digits than its factorization.

2874574993248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11530 (or 11519 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 2874574993248 in words is "two trillion, eight hundred seventy-four billion, five hundred seventy-four million, nine hundred ninety-three thousand, two hundred forty-eight".