2507355948 has 48 divisors (see below), whose sum is σ = 6148880640. Its totient is φ = 793683264.

The previous prime is 2507355947. The next prime is 2507355973. The reversal of 2507355948 is 8495537052.

It is a junction number, because it is equal to n+sod(n) for n = 2507355897 and 2507355906.

It is not an unprimeable number, because it can be changed into a prime (2507355947) 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, 5686 + ... + 71042.

It is an arithmetic number, because the mean of its divisors is an integer number (128101680).

Almost surely, 2^2507355948 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 2507355948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074440320).

2507355948 is an abundant number, since it is smaller than the sum of its proper divisors (3641524692).

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

2507355948 is a wasteful number, since it uses less digits than its factorization.

2507355948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65526 (or 65524 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The square root of 2507355948 is about 50073.5054494890. The cubic root of 2507355948 is about 1358.5386458428.

The spelling of 2507355948 in words is "two billion, five hundred seven million, three hundred fifty-five thousand, nine hundred forty-eight".