2610755940 has 144 divisors (see below), whose sum is σ = 8026397568. Its totient is φ = 633664512.

The previous prime is 2610755929. The next prime is 2610755941. The reversal of 2610755940 is 495570162.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2610755941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738457 + ... + 741983.

It is an arithmetic number, because the mean of its divisors is an integer number (55738872).

Almost surely, 2^2610755940 is an apocalyptic number.

2610755940 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 2610755940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013198784).

2610755940 is an abundant number, since it is smaller than the sum of its proper divisors (5415641628).

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

2610755940 is a wasteful number, since it uses less digits than its factorization.

2610755940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 2610755940 is about 51095.5569496996. The cubic root of 2610755940 is about 1376.9624324382.

The spelling of 2610755940 in words is "two billion, six hundred ten million, seven hundred fifty-five thousand, nine hundred forty".