2490520032 has 576 divisors, whose sum is σ = 9748118016. Its totient is φ = 582266880.

The previous prime is 2490519959. The next prime is 2490520051. The reversal of 2490520032 is 2300250942.

2490520032 is a `hidden beast` number, since 24 + 90 + 520 + 0 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2490519978 and 2490520005.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 15279183 + ... + 15279345.

It is an arithmetic number, because the mean of its divisors is an integer number (16923816).

Almost surely, 2^2490520032 is an apocalyptic number.

2490520032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2490520032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874059008).

2490520032 is an abundant number, since it is smaller than the sum of its proper divisors (7257597984).

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

2490520032 is a wasteful number, since it uses less digits than its factorization.

2490520032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2490520032 is about 49905.1102794093. The cubic root of 2490520032 is about 1355.4911291824.

Adding to 2490520032 its reverse (2300250942), we get a palindrome (4790770974).

The spelling of 2490520032 in words is "two billion, four hundred ninety million, five hundred twenty thousand, thirty-two".