2649360 has 160 divisors (see below), whose sum is σ = 9999360. Its totient is φ = 566784.

The previous prime is 2649329. The next prime is 2649371. The reversal of 2649360 is 639462.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 31879 + ... + 31961.

It is an arithmetic number, because the mean of its divisors is an integer number (62496).

2^2649360 is an apocalyptic number.

2649360 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 2649360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

2649360 is an abundant number, since it is smaller than the sum of its proper divisors (7350000).

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

2649360 is a wasteful number, since it uses less digits than its factorization.

2649360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 2649360 is about 1627.6854733025. The cubic root of 2649360 is about 138.3716092209.

The spelling of 2649360 in words is "two million, six hundred forty-nine thousand, three hundred sixty".