2504041464 has 128 divisors (see below), whose sum is σ = 6910272000. Its totient is φ = 752615424.

The previous prime is 2504041459. The next prime is 2504041481. The reversal of 2504041464 is 4641404052.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2694952 + ... + 2695880.

It is an arithmetic number, because the mean of its divisors is an integer number (53986500).

Almost surely, 2^2504041464 is an apocalyptic number.

2504041464 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 2504041464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455136000).

2504041464 is an abundant number, since it is smaller than the sum of its proper divisors (4406230536).

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

2504041464 is a wasteful number, since it uses less digits than its factorization.

2504041464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2504041464 is about 50040.3983197576. The cubic root of 2504041464 is about 1357.9397626273.

The spelling of 2504041464 in words is "two billion, five hundred four million, forty-one thousand, four hundred sixty-four".