2525281678404 has 96 divisors (see below), whose sum is σ = 6615414650880. Its totient is φ = 833013504000.

The previous prime is 2525281678349. The next prime is 2525281678441. The reversal of 2525281678404 is 4048761825252.

2525281678404 is a `hidden beast` number, since 2 + 5 + 2 + 528 + 1 + 6 + 78 + 40 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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 31 ways as a sum of consecutive naturals, for example, 3664054 + ... + 4298354.

It is an arithmetic number, because the mean of its divisors is an integer number (68910569280).

Almost surely, 2^{2525281678404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525281678404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307707325440).

2525281678404 is an abundant number, since it is smaller than the sum of its proper divisors (4090132972476).

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

2525281678404 is a wasteful number, since it uses less digits than its factorization.

2525281678404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634698 (or 634690 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 2525281678404 in words is "two trillion, five hundred twenty-five billion, two hundred eighty-one million, six hundred seventy-eight thousand, four hundred four".