2546267904 has 108 divisors (see below), whose sum is σ = 7409602200. Its totient is φ = 840886272.

The previous prime is 2546267861. The next prime is 2546267909. The reversal of 2546267904 is 4097626452.

It is a self number, because there is not a number n which added to its sum of digits gives 2546267904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2546267909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246067 + ... + 256205.

Almost surely, 2^2546267904 is an apocalyptic number.

2546267904 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 2546267904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704801100).

2546267904 is an abundant number, since it is smaller than the sum of its proper divisors (4863334296).

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

2546267904 is a wasteful number, since it uses less digits than its factorization.

2546267904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10270 (or 10253 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2546267904 is about 50460.5579041691. The cubic root of 2546267904 is about 1365.5303755468.

The spelling of 2546267904 in words is "two billion, five hundred forty-six million, two hundred sixty-seven thousand, nine hundred four".