2503948761 has 32 divisors (see below), whose sum is σ = 3805885440. Its totient is φ = 1626076800.

The previous prime is 2503948757. The next prime is 2503948793. The reversal of 2503948761 is 1678493052.

2503948761 is a `hidden beast` number, since 2 + 503 + 9 + 4 + 87 + 61 = 666.

2503948761 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

2503948761 is a nontrivial binomial coefficient, being equal to C(70767, 2).

It is not a de Polignac number, because 2503948761 - 2² = 2503948757 is a prime.

2503948761 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (2503948721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 954031 + ... + 956651.

It is an arithmetic number, because the mean of its divisors is an integer number (118933920).

It is a 1-persistent number, because it is pandigital, but 2⋅2503948761 = 5007897522 is not.

Almost surely, 2^2503948761 is an apocalyptic number.

2503948761 is the 70766-th triangular number.

It is an amenable number.

2503948761 is a deficient number, since it is larger than the sum of its proper divisors (1301936679).

2503948761 is a wasteful number, since it uses less digits than its factorization.

2503948761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2503948761 is about 50039.4720295888. The cubic root of 2503948761 is about 1357.9230048320.

The spelling of 2503948761 in words is "two billion, five hundred three million, nine hundred forty-eight thousand, seven hundred sixty-one".