2961538460 has 72 divisors (see below), whose sum is σ = 6484637376. Its totient is φ = 1135296000.

The previous prime is 2961538369. The next prime is 2961538477. The reversal of 2961538460 is 648351692.

2961538460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3943085 + ... + 3943835.

It is an arithmetic number, because the mean of its divisors is an integer number (90064408).

Almost surely, 2^2961538460 is an apocalyptic number.

2961538460 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 2961538460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242318688).

2961538460 is an abundant number, since it is smaller than the sum of its proper divisors (3523098916).

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

2961538460 is a wasteful number, since it uses less digits than its factorization.

2961538460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 2961538460 is about 54420.0189268618. The cubic root of 2961538460 is about 1436.0595815627.

The spelling of 2961538460 in words is "two billion, nine hundred sixty-one million, five hundred thirty-eight thousand, four hundred sixty".