2506859280 has 200 divisors, whose sum is σ = 8743851072. Its totient is φ = 665646336.

The previous prime is 2506859273. The next prime is 2506859323. The reversal of 2506859280 is 829586052.

2506859280 is a `hidden beast` number, since 2 + 50 + 6 + 8 + 592 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1833157 + ... + 1834523.

Almost surely, 2^2506859280 is an apocalyptic number.

2506859280 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 2506859280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371925536).

2506859280 is an abundant number, since it is smaller than the sum of its proper divisors (6236991792).

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

2506859280 is a wasteful number, since it uses less digits than its factorization.

2506859280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 2506859280 is about 50068.5458147129. The cubic root of 2506859280 is about 1358.4489381662.

It can be divided in two parts, 25068 and 59280, that added together give a palindrome (84348).

The spelling of 2506859280 in words is "two billion, five hundred six million, eight hundred fifty-nine thousand, two hundred eighty".