2874112416 has 192 divisors, whose sum is σ = 9785180160. Its totient is φ = 803623680.

The previous prime is 2874112379. The next prime is 2874112427. The reversal of 2874112416 is 6142114782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279201 + ... + 289311.

It is an arithmetic number, because the mean of its divisors is an integer number (50964480).

Almost surely, 2^2874112416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2874112416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892590080).

2874112416 is an abundant number, since it is smaller than the sum of its proper divisors (6911067744).

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

2874112416 is a wasteful number, since it uses less digits than its factorization.

2874112416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10184 (or 10170 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 2874112416 is about 53610.7490714316. The cubic root of 2874112416 is about 1421.7871461210.

The spelling of 2874112416 in words is "two billion, eight hundred seventy-four million, one hundred twelve thousand, four hundred sixteen".