2960249600 has 216 divisors, whose sum is σ = 9136581888. Its totient is φ = 922521600.

The previous prime is 2960249521. The next prime is 2960249629. The reversal of 2960249600 is 69420692.

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, 489797 + ... + 495803.

Almost surely, 2^2960249600 is an apocalyptic number.

2960249600 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 2960249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568290944).

2960249600 is an abundant number, since it is smaller than the sum of its proper divisors (6176332288).

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

2960249600 is a wasteful number, since it uses less digits than its factorization.

2960249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6051 (or 6032 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 2960249600 is about 54408.1758562075. The cubic root of 2960249600 is about 1435.8512272065.

The spelling of 2960249600 in words is "two billion, nine hundred sixty million, two hundred forty-nine thousand, six hundred".