2506706280 has 192 divisors, whose sum is σ = 8800842960. Its totient is φ = 615112704.

The previous prime is 2506706249. The next prime is 2506706291. The reversal of 2506706280 is 826076052.

2506706280 is a `hidden beast` number, since 2 + 506 + 70 + 6 + 2 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 437730084 + 2068976196 = 20922^2 + 45486^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2025822 + ... + 2027058.

Almost surely, 2^2506706280 is an apocalyptic number.

2506706280 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 2506706280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4400421480).

2506706280 is an abundant number, since it is smaller than the sum of its proper divisors (6294136680).

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

2506706280 is a wasteful number, since it uses less digits than its factorization.

2506706280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2506706280 is about 50067.0178860295. The cubic root of 2506706280 is about 1358.4213010723.

The spelling of 2506706280 in words is "two billion, five hundred six million, seven hundred six thousand, two hundred eighty".