2610408960 has 240 divisors, whose sum is σ = 9117581616. Its totient is φ = 690192384.

The previous prime is 2610408959. The next prime is 2610408961. The reversal of 2610408960 is 698040162.

It is an interprime number because it is at equal distance from previous prime (2610408959) and next prime (2610408961).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2610408961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3156067 + ... + 3156893.

Almost surely, 2^2610408960 is an apocalyptic number.

2610408960 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 2610408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558790808).

2610408960 is an abundant number, since it is smaller than the sum of its proper divisors (6507172656).

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

2610408960 is a wasteful number, since it uses less digits than its factorization.

2610408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2610408960 is about 51092.1614340204. The cubic root of 2610408960 is about 1376.9014284476.

The spelling of 2610408960 in words is "two billion, six hundred ten million, four hundred eight thousand, nine hundred sixty".