2545403904 has 144 divisors (see below), whose sum is σ = 7399452060. Its totient is φ = 842956800.

The previous prime is 2545403873. The next prime is 2545403909. The reversal of 2545403904 is 4093045452.

It is a happy number.

2545403904 is a `hidden beast` number, since 25 + 4 + 540 + 3 + 90 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1907942400 + 637461504 = 43680^2 + 25248^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (2545403909) 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, 3630754 + ... + 3631454.

Almost surely, 2^2545403904 is an apocalyptic number.

2545403904 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 2545403904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699726030).

2545403904 is an abundant number, since it is smaller than the sum of its proper divisors (4854048156).

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

2545403904 is a wasteful number, since it uses less digits than its factorization.

2545403904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2545403904 is about 50451.9960358359. The cubic root of 2545403904 is about 1365.3759074181.

The spelling of 2545403904 in words is "two billion, five hundred forty-five million, four hundred three thousand, nine hundred four".