2972410144 has 48 divisors (see below), whose sum is σ = 6401324160. Its totient is φ = 1347413760.

The previous prime is 2972410127. The next prime is 2972410159. The reversal of 2972410144 is 4410142792.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119977 + ... + 142615.

It is an arithmetic number, because the mean of its divisors is an integer number (133360920).

Almost surely, 2^2972410144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2972410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200662080).

2972410144 is an abundant number, since it is smaller than the sum of its proper divisors (3428914016).

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

2972410144 is a wasteful number, since it uses less digits than its factorization.

2972410144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23033 (or 23025 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 2972410144 is about 54519.8142329924. The cubic root of 2972410144 is about 1437.8146739372.

The spelling of 2972410144 in words is "two billion, nine hundred seventy-two million, four hundred ten thousand, one hundred forty-four".