2503457632 has 192 divisors, whose sum is σ = 5974456320. Its totient is φ = 1021261824.

The previous prime is 2503457603. The next prime is 2503457681. The reversal of 2503457632 is 2367543052.

It is a junction number, because it is equal to n+sod(n) for n = 2503457591 and 2503457600.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 8544078 + ... + 8544370.

It is an arithmetic number, because the mean of its divisors is an integer number (31116960).

Almost surely, 2^2503457632 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 2503457632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987228160).

2503457632 is an abundant number, since it is smaller than the sum of its proper divisors (3470998688).

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

2503457632 is a wasteful number, since it uses less digits than its factorization.

2503457632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 37.

The square root of 2503457632 is about 50034.5643730412. The cubic root of 2503457632 is about 1357.8342172090.

The spelling of 2503457632 in words is "two billion, five hundred three million, four hundred fifty-seven thousand, six hundred thirty-two".