2523389400000 has 1008 divisors, whose sum is σ = 10384125373440. Its totient is φ = 573868800000.

The previous prime is 2523389399987. The next prime is 2523389400011. The reversal of 2523389400000 is 49833252.

It is a tau number, because it is divible by the number of its divisors (1008).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3414599631 + ... + 3414600369.

It is an arithmetic number, because the mean of its divisors is an integer number (10301711680).

Almost surely, 2^{2523389400000} is an apocalyptic number.

2523389400000 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 2523389400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192062686720).

2523389400000 is an abundant number, since it is smaller than the sum of its proper divisors (7860735973440).

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

2523389400000 is an equidigital number, since it uses as much as digits as its factorization.

2523389400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2523389400000 in words is "two trillion, five hundred twenty-three billion, three hundred eighty-nine million, four hundred thousand".