2506077840 has 320 divisors, whose sum is σ = 9195411456. Its totient is φ = 552738816.

The previous prime is 2506077839. The next prime is 2506077853. The reversal of 2506077840 is 487706052.

It is a super-2 number, since 2×2506077840² = 12560852280278131200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8162967 + ... + 8163273.

Almost surely, 2^2506077840 is an apocalyptic number.

2506077840 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 2506077840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597705728).

2506077840 is an abundant number, since it is smaller than the sum of its proper divisors (6689333616).

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

2506077840 is a wasteful number, since it uses less digits than its factorization.

2506077840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 2506077840 is about 50060.7415046961. The cubic root of 2506077840 is about 1358.3077712663.

The spelling of 2506077840 in words is "two billion, five hundred six million, seventy-seven thousand, eight hundred forty".