2462745152 has 112 divisors (see below), whose sum is σ = 5792858112. Its totient is φ = 1016547840.

The previous prime is 2462745127. The next prime is 2462745157. The reversal of 2462745152 is 2515472642.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2462745152² = 12130227367399006208, which contains 22 as substring.

Its product of digits (134400) is a multiple of the sum of its prime factors (896).

It is not an unprimeable number, because it can be changed into a prime (2462745157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5318873 + ... + 5319335.

Almost surely, 2^2462745152 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 2462745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896429056).

2462745152 is an abundant number, since it is smaller than the sum of its proper divisors (3330112960).

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

2462745152 is a wasteful number, since it uses less digits than its factorization.

2462745152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 886 counting only the distinct ones).

The product of its digits is 134400, while the sum is 38.

The square root of 2462745152 is about 49626.0531575905. The cubic root of 2462745152 is about 1350.4333591821.

The spelling of 2462745152 in words is "two billion, four hundred sixty-two million, seven hundred forty-five thousand, one hundred fifty-two".