2610314240 has 88 divisors (see below), whose sum is σ = 6591503760. Its totient is φ = 989134848.

The previous prime is 2610314237. The next prime is 2610314251. The reversal of 2610314240 is 424130162.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83864 + ... + 110696.

Almost surely, 2^2610314240 is an apocalyptic number.

2610314240 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 2610314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295751880).

2610314240 is an abundant number, since it is smaller than the sum of its proper divisors (3981189520).

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

2610314240 is a wasteful number, since it uses less digits than its factorization.

2610314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26877 (or 26859 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2610314240 is about 51091.2344732440. The cubic root of 2610314240 is about 1376.8847743929.

The spelling of 2610314240 in words is "two billion, six hundred ten million, three hundred fourteen thousand, two hundred forty".