2912875749000 has 1536 divisors, whose sum is σ = 12010224844800. Its totient is φ = 646652160000.

The previous prime is 2912875748957. The next prime is 2912875749023. The reversal of 2912875749000 is 9475782192.

2912875749000 is a `hidden beast` number, since 29 + 1 + 2 + 87 + 57 + 490 + 0 + 0 = 666.

It is a super-2 number, since 2×2912875749000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10748618865 + ... + 10748619135.

It is an arithmetic number, because the mean of its divisors is an integer number (7819156800).

Almost surely, 2^{2912875749000} is an apocalyptic number.

2912875749000 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 2912875749000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005112422400).

2912875749000 is an abundant number, since it is smaller than the sum of its proper divisors (9097349095800).

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

2912875749000 is a wasteful number, since it uses less digits than its factorization.

2912875749000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 2912875749000 in words is "two trillion, nine hundred twelve billion, eight hundred seventy-five million, seven hundred forty-nine thousand".