2523048000 has 448 divisors, whose sum is σ = 9585838080. Its totient is φ = 578304000.

The previous prime is 2523047999. The next prime is 2523048007. The reversal of 2523048000 is 8403252.

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

It is not an unprimeable number, because it can be changed into a prime (2523048007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5015749 + ... + 5016251.

It is an arithmetic number, because the mean of its divisors is an integer number (21396960).

Almost surely, 2^2523048000 is an apocalyptic number.

2523048000 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 2523048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792919040).

2523048000 is an abundant number, since it is smaller than the sum of its proper divisors (7062790080).

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

2523048000 is a wasteful number, since it uses less digits than its factorization.

2523048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2523048000 is about 50229.9512243442. The cubic root of 2523048000 is about 1361.3668495662.

It can be divided in two parts, 25230 and 48000, that multiplied together give a square (1211040000 = 34800²).

The spelling of 2523048000 in words is "two billion, five hundred twenty-three million, forty-eight thousand".