2523384144 has 80 divisors (see below), whose sum is σ = 7255309440. Its totient is φ = 839704320.

The previous prime is 2523384139. The next prime is 2523384151. The reversal of 2523384144 is 4414833252.

2523384144 is a `hidden beast` number, since 2 + 5 + 233 + 8 + 414 + 4 = 666.

It is a super-2 number, since 2×2523384144² = 12734935076381225472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2523384099 and 2523384108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267964 + ... + 277220.

It is an arithmetic number, because the mean of its divisors is an integer number (90691368).

Almost surely, 2^2523384144 is an apocalyptic number.

2523384144 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 2523384144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627654720).

2523384144 is an abundant number, since it is smaller than the sum of its proper divisors (4731925296).

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

2523384144 is a wasteful number, since it uses less digits than its factorization.

2523384144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9905 (or 9893 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 2523384144 is about 50233.2971643312. The cubic root of 2523384144 is about 1361.4273048802.

The spelling of 2523384144 in words is "two billion, five hundred twenty-three million, three hundred eighty-four thousand, one hundred forty-four".