2546075904 has 144 divisors (see below), whose sum is σ = 7009317504. Its totient is φ = 820019200.

The previous prime is 2546075899. The next prime is 2546075921. The reversal of 2546075904 is 4095706452.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2889544 + ... + 2890424.

It is an arithmetic number, because the mean of its divisors is an integer number (48675816).

Almost surely, 2^2546075904 is an apocalyptic number.

2546075904 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 2546075904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504658752).

2546075904 is an abundant number, since it is smaller than the sum of its proper divisors (4463241600).

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

2546075904 is an equidigital number, since it uses as much as digits as its factorization.

2546075904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 2546075904 is about 50458.6553923110. The cubic root of 2546075904 is about 1365.4960523161.

The spelling of 2546075904 in words is "two billion, five hundred forty-six million, seventy-five thousand, nine hundred four".