2490547104 has 72 divisors (see below), whose sum is σ = 7147560420. Its totient is φ = 822555648.

The previous prime is 2490547097. The next prime is 2490547123. The reversal of 2490547104 is 4017450942.

It is a happy number.

2490547104 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 547 + 104 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2450250000 + 40297104 = 49500^2 + 6348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8277 + ... + 71060.

Almost surely, 2^2490547104 is an apocalyptic number.

2490547104 is a gapful number since it is divisible by the number (24) 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 2490547104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573780210).

2490547104 is an abundant number, since it is smaller than the sum of its proper divisors (4657013316).

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

2490547104 is a wasteful number, since it uses less digits than its factorization.

2490547104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79462 (or 79451 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2490547104 is about 49905.3815134200. The cubic root of 2490547104 is about 1355.4960405694.

The spelling of 2490547104 in words is "two billion, four hundred ninety million, five hundred forty-seven thousand, one hundred four".