2528683466400 has 4032 divisors, whose sum is σ = 12393826744320. Its totient is φ = 489104179200.

The previous prime is 2528683466389. The next prime is 2528683466401. The reversal of 2528683466400 is 46643868252.

It is a happy number.

2528683466400 is a `hidden beast` number, since 25 + 2 + 86 + 83 + 4 + 66 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2528683466401) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 47711008774 + ... + 47711008826.

It is an arithmetic number, because the mean of its divisors is an integer number (3073865760).

Almost surely, 2^{2528683466400} is an apocalyptic number.

2528683466400 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 2528683466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6196913372160).

2528683466400 is an abundant number, since it is smaller than the sum of its proper divisors (9865143277920).

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

2528683466400 is a wasteful number, since it uses less digits than its factorization.

2528683466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 2528683466400 in words is "two trillion, five hundred twenty-eight billion, six hundred eighty-three million, four hundred sixty-six thousand, four hundred".