2874224640 has 416 divisors, whose sum is σ = 10832564736. Its totient is φ = 637009920.

The previous prime is 2874224623. The next prime is 2874224641. The reversal of 2874224640 is 464224782.

It is a super-3 number, since 3×2874224640³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2874224641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17633199 + ... + 17633361.

Almost surely, 2^2874224640 is an apocalyptic number.

2874224640 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 2874224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416282368).

2874224640 is an abundant number, since it is smaller than the sum of its proper divisors (7958340096).

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

2874224640 is a wasteful number, since it uses less digits than its factorization.

2874224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The square root of 2874224640 is about 53611.7957169875. The cubic root of 2874224640 is about 1421.8056511458.

The spelling of 2874224640 in words is "two billion, eight hundred seventy-four million, two hundred twenty-four thousand, six hundred forty".