2506576140 has 288 divisors, whose sum is σ = 8386560000. Its totient is φ = 603542016.

The previous prime is 2506576103. The next prime is 2506576157. The reversal of 2506576140 is 416756052.

It is a happy number.

2506576140 is a `hidden beast` number, since 2 + 506 + 5 + 7 + 6 + 140 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2506576095 and 2506576104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12595761 + ... + 12595959.

It is an arithmetic number, because the mean of its divisors is an integer number (29120000).

Almost surely, 2^2506576140 is an apocalyptic number.

2506576140 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 2506576140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193280000).

2506576140 is an abundant number, since it is smaller than the sum of its proper divisors (5879983860).

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

2506576140 is a wasteful number, since it uses less digits than its factorization.

2506576140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2506576140 is about 50065.7182111672. The cubic root of 2506576140 is about 1358.3977924003.

The spelling of 2506576140 in words is "two billion, five hundred six million, five hundred seventy-six thousand, one hundred forty".