2504378448 has 480 divisors, whose sum is σ = 8953176960. Its totient is φ = 641986560.

The previous prime is 2504378407. The next prime is 2504378449. The reversal of 2504378448 is 8448734052.

It is a happy number.

It is a super-2 number, since 2×2504378448² = 12543822821613777408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2504378449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14476090 + ... + 14476262.

It is an arithmetic number, because the mean of its divisors is an integer number (18652452).

Almost surely, 2^2504378448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2504378448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4476588480).

2504378448 is an abundant number, since it is smaller than the sum of its proper divisors (6448798512).

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

2504378448 is a wasteful number, since it uses less digits than its factorization.

2504378448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The square root of 2504378448 is about 50043.7653259624. The cubic root of 2504378448 is about 1358.0006752831. Note that the first 3 decimals are identical.

The spelling of 2504378448 in words is "two billion, five hundred four million, three hundred seventy-eight thousand, four hundred forty-eight".