2646460980 has 144 divisors (see below), whose sum is σ = 8473308480. Its totient is φ = 666745344.

The previous prime is 2646460931. The next prime is 2646460981. The reversal of 2646460980 is 890646462.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2646460981) 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, 1596312 + ... + 1597968.

It is an arithmetic number, because the mean of its divisors is an integer number (58842420).

Almost surely, 2^2646460980 is an apocalyptic number.

2646460980 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 2646460980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236654240).

2646460980 is an abundant number, since it is smaller than the sum of its proper divisors (5826847500).

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

2646460980 is a wasteful number, since it uses less digits than its factorization.

2646460980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2646460980 is about 51443.7652198981. The cubic root of 2646460980 is about 1383.2112049082.

The spelling of 2646460980 in words is "two billion, six hundred forty-six million, four hundred sixty thousand, nine hundred eighty".