2505048000 has 896 divisors, whose sum is σ = 10792943616. Its totient is φ = 497664000.

The previous prime is 2505047981. The next prime is 2505048061. The reversal of 2505048000 is 8405052.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 67703982 + ... + 67704018.

It is an arithmetic number, because the mean of its divisors is an integer number (12045696).

Almost surely, 2^2505048000 is an apocalyptic number.

2505048000 is a gapful number since it is divisible by the number (20) 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 2505048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396471808).

2505048000 is an abundant number, since it is smaller than the sum of its proper divisors (8287895616).

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

2505048000 is a wasteful number, since it uses less digits than its factorization.

2505048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2505048000 is about 50050.4545433905. The cubic root of 2505048000 is about 1358.1216861538.

The spelling of 2505048000 in words is "two billion, five hundred five million, forty-eight thousand".