2401972512 has 96 divisors (see below), whose sum is σ = 6572889792. Its totient is φ = 767314944.

The previous prime is 2401972511. The next prime is 2401972513. The reversal of 2401972512 is 2152791042.

It is an interprime number because it is at equal distance from previous prime (2401972511) and next prime (2401972513).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2401972511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232938 + ... + 243030.

It is an arithmetic number, because the mean of its divisors is an integer number (68467602).

Almost surely, 2^2401972512 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 2401972512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286444896).

2401972512 is an abundant number, since it is smaller than the sum of its proper divisors (4170917280).

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

2401972512 is a wasteful number, since it uses less digits than its factorization.

2401972512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10210 (or 10202 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 2401972512 is about 49009.9225871660. The cubic root of 2401972512 is about 1339.2325954249.

The spelling of 2401972512 in words is "two billion, four hundred one million, nine hundred seventy-two thousand, five hundred twelve".