2400152976112 has 160 divisors (see below), whose sum is σ = 5273519616000. Its totient is φ = 1052886159360.

The previous prime is 2400152976073. The next prime is 2400152976149. The reversal of 2400152976112 is 2116792510042.

It is a super-3 number, since 3×2400152976112³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30843589 + ... + 30921307.

It is an arithmetic number, because the mean of its divisors is an integer number (32959497600).

Almost surely, 2^{2400152976112} 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 2400152976112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636759808000).

2400152976112 is an abundant number, since it is smaller than the sum of its proper divisors (2873366639888).

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

2400152976112 is a wasteful number, since it uses less digits than its factorization.

2400152976112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77919 (or 77913 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 2400152976112 in words is "two trillion, four hundred billion, one hundred fifty-two million, nine hundred seventy-six thousand, one hundred twelve".