2661510460 has 72 divisors (see below), whose sum is σ = 6513212160. Its totient is φ = 910901376.

The previous prime is 2661510451. The next prime is 2661510503. The reversal of 2661510460 is 640151662.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637861 + ... + 642019.

It is an arithmetic number, because the mean of its divisors is an integer number (90461280).

Almost surely, 2^2661510460 is an apocalyptic number.

2661510460 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 2661510460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256606080).

2661510460 is an abundant number, since it is smaller than the sum of its proper divisors (3851701700).

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

2661510460 is a wasteful number, since it uses less digits than its factorization.

2661510460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4835 (or 4826 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 2661510460 is about 51589.8290363517. The cubic root of 2661510460 is about 1385.8281935120.

The spelling of 2661510460 in words is "two billion, six hundred sixty-one million, five hundred ten thousand, four hundred sixty".