2749874960 has 160 divisors (see below), whose sum is σ = 7476164352. Its totient is φ = 921231360.

The previous prime is 2749874951. The next prime is 2749874977. The reversal of 2749874960 is 694789472.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 2749874896 and 2749874905.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5600315 + ... + 5600805.

Almost surely, 2^2749874960 is an apocalyptic number.

2749874960 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 2749874960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738082176).

2749874960 is an abundant number, since it is smaller than the sum of its proper divisors (4726289392).

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

2749874960 is a wasteful number, since it uses less digits than its factorization.

2749874960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 56.

The square root of 2749874960 is about 52439.2501853335. The cubic root of 2749874960 is about 1400.9984306423.

The spelling of 2749874960 in words is "two billion, seven hundred forty-nine million, eight hundred seventy-four thousand, nine hundred sixty".