2506506240 has 480 divisors, whose sum is σ = 9663381504. Its totient is φ = 542638080.

The previous prime is 2506506203. The next prime is 2506506251. The reversal of 2506506240 is 426056052.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2506506198 and 2506506207.

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, 53329897 + ... + 53329943.

Almost surely, 2^2506506240 is an apocalyptic number.

2506506240 is a gapful number since it is divisible by the number (20) 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 2506506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831690752).

2506506240 is an abundant number, since it is smaller than the sum of its proper divisors (7156875264).

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

2506506240 is an equidigital number, since it uses as much as digits as its factorization.

2506506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2506506240 is about 50065.0201238350. The cubic root of 2506506240 is about 1358.3851652304.

The spelling of 2506506240 in words is "two billion, five hundred six million, five hundred six thousand, two hundred forty".