2506259448 has 576 divisors, whose sum is σ = 9461088000. Its totient is φ = 610727040.

The previous prime is 2506259447. The next prime is 2506259453. The reversal of 2506259448 is 8449526052.

2506259448 is a `hidden beast` number, since 2 + 50 + 6 + 2 + 594 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506259447) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24332565 + ... + 24332667.

It is an arithmetic number, because the mean of its divisors is an integer number (16425500).

Almost surely, 2^2506259448 is an apocalyptic number.

2506259448 is a gapful number since it is divisible by the number (28) 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 2506259448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730544000).

2506259448 is an abundant number, since it is smaller than the sum of its proper divisors (6954828552).

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

2506259448 is a wasteful number, since it uses less digits than its factorization.

2506259448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2506259448 is about 50062.5553482840. Note that the first 3 decimals coincide. The cubic root of 2506259448 is about 1358.3405813139.

The spelling of 2506259448 in words is "two billion, five hundred six million, two hundred fifty-nine thousand, four hundred forty-eight".