2502549504 has 336 divisors, whose sum is σ = 8921264352. Its totient is φ = 658243584.

The previous prime is 2502549499. The next prime is 2502549547. The reversal of 2502549504 is 4059452052.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6709062 + ... + 6709434.

It is an arithmetic number, because the mean of its divisors is an integer number (26551382).

Almost surely, 2^2502549504 is an apocalyptic number.

2502549504 is a gapful number since it is divisible by the number (24) 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 2502549504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460632176).

2502549504 is an abundant number, since it is smaller than the sum of its proper divisors (6418714848).

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

2502549504 is a wasteful number, since it uses less digits than its factorization.

2502549504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2502549504 is about 50025.4885433416. The cubic root of 2502549504 is about 1357.6700127920.

It can be divided in two parts, 25025 and 49504, that added together give a square (74529 = 273²).

The spelling of 2502549504 in words is "two billion, five hundred two million, five hundred forty-nine thousand, five hundred four".