2611452960 has 384 divisors, whose sum is σ = 9819532800. Its totient is φ = 653930496.

The previous prime is 2611452953. The next prime is 2611452973. The reversal of 2611452960 is 692541162.

2611452960 is a `hidden beast` number, since 2 + 61 + 14 + 529 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5948421 + ... + 5948859.

It is an arithmetic number, because the mean of its divisors is an integer number (25571700).

Almost surely, 2^2611452960 is an apocalyptic number.

2611452960 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 2611452960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909766400).

2611452960 is an abundant number, since it is smaller than the sum of its proper divisors (7208079840).

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

2611452960 is an equidigital number, since it uses as much as digits as its factorization.

2611452960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2611452960 is about 51102.3772441165. The cubic root of 2611452960 is about 1377.0849620779.

The spelling of 2611452960 in words is "two billion, six hundred eleven million, four hundred fifty-two thousand, nine hundred sixty".