2400137152 has 56 divisors (see below), whose sum is σ = 5729671040. Its totient is φ = 974488320.

The previous prime is 2400137119. The next prime is 2400137153. The reversal of 2400137152 is 2517310042.

It is a happy number.

2400137152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×2400137152² = 11521316696821342208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400137153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132474 + ... + 149497.

Almost surely, 2^2400137152 is an apocalyptic number.

It is an amenable number.

2400137152 is an abundant number, since it is smaller than the sum of its proper divisors (3329533888).

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

2400137152 is a wasteful number, since it uses less digits than its factorization.

2400137152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282009 (or 281999 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 2400137152 is about 48991.1946374040. The cubic root of 2400137152 is about 1338.8914035863.

Adding to 2400137152 its reverse (2517310042), we get a palindrome (4917447194).

The spelling of 2400137152 in words is "two billion, four hundred million, one hundred thirty-seven thousand, one hundred fifty-two".