2874711840 has 768 divisors, whose sum is σ = 12615450624. Its totient is φ = 530841600.

The previous prime is 2874711839. The next prime is 2874711857. The reversal of 2874711840 is 481174782.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2874711792 and 2874711801.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14894784 + ... + 14894976.

It is an arithmetic number, because the mean of its divisors is an integer number (16426368).

Almost surely, 2^2874711840 is an apocalyptic number.

2874711840 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 2874711840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6307725312).

2874711840 is an abundant number, since it is smaller than the sum of its proper divisors (9740738784).

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

2874711840 is a wasteful number, since it uses less digits than its factorization.

2874711840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 2874711840 is about 53616.3393006274. The cubic root of 2874711840 is about 1421.8859817467.

The spelling of 2874711840 in words is "two billion, eight hundred seventy-four million, seven hundred eleven thousand, eight hundred forty".