2500464042 has 48 divisors (see below), whose sum is σ = 5625046440. Its totient is φ = 801795456.

The previous prime is 2500464041. The next prime is 2500464047. The reversal of 2500464042 is 2404640052.

2500464042 is a `hidden beast` number, since 250 + 0 + 4 + 6 + 404 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1090386441 + 1410077601 = 33021^2 + 37551^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2500463997 and 2500464015.

It is not an unprimeable number, because it can be changed into a prime (2500464041) 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 23 ways as a sum of consecutive naturals, for example, 135948 + ... + 153240.

Almost surely, 2^2500464042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2500464042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812523220).

2500464042 is an abundant number, since it is smaller than the sum of its proper divisors (3124582398).

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

2500464042 is a wasteful number, since it uses less digits than its factorization.

2500464042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17607 (or 17604 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2500464042 is about 50004.6402046850. The cubic root of 2500464042 is about 1357.2927766877.

The spelling of 2500464042 in words is "two billion, five hundred million, four hundred sixty-four thousand, forty-two".