2523917760 has 448 divisors, whose sum is σ = 9979103232. Its totient is φ = 526270464.

The previous prime is 2523917743. The next prime is 2523917771. The reversal of 2523917760 is 677193252.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14589034 + ... + 14589206.

It is an arithmetic number, because the mean of its divisors is an integer number (22274784).

Almost surely, 2^2523917760 is an apocalyptic number.

2523917760 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 2523917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989551616).

2523917760 is an abundant number, since it is smaller than the sum of its proper divisors (7455185472).

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

2523917760 is a wasteful number, since it uses less digits than its factorization.

2523917760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 2523917760 is about 50238.6082609779. The cubic root of 2523917760 is about 1361.5232643997.

The spelling of 2523917760 in words is "two billion, five hundred twenty-three million, nine hundred seventeen thousand, seven hundred sixty".