2507577048 has 64 divisors (see below), whose sum is σ = 6980688000. Its totient is φ = 834035616.

The previous prime is 2507577031. The next prime is 2507577049. The reversal of 2507577048 is 8407757052.

It is a junction number, because it is equal to n+sod(n) for n = 2507576994 and 2507577012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2507577049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 88443 + ... + 113301.

It is an arithmetic number, because the mean of its divisors is an integer number (109073250).

Almost surely, 2^2507577048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2507577048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490344000).

2507577048 is an abundant number, since it is smaller than the sum of its proper divisors (4473110952).

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

2507577048 is a wasteful number, since it uses less digits than its factorization.

2507577048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25341 (or 25331 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The square root of 2507577048 is about 50075.7131551813. The cubic root of 2507577048 is about 1358.5785768926.

The spelling of 2507577048 in words is "two billion, five hundred seven million, five hundred seventy-seven thousand, forty-eight".