2825621400 has 96 divisors (see below), whose sum is σ = 10010787840. Its totient is φ = 645855360.

The previous prime is 2825621389. The next prime is 2825621401. The reversal of 2825621400 is 41265282.

2825621400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2825621400² = 15968272592275920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2825621401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332184 + ... + 340583.

It is an arithmetic number, because the mean of its divisors is an integer number (104279040).

Almost surely, 2^2825621400 is an apocalyptic number.

2825621400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2825621400 is an abundant number, since it is smaller than the sum of its proper divisors (7185166440).

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

2825621400 is a wasteful number, since it uses less digits than its factorization.

2825621400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672793 (or 672784 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2825621400 is about 53156.5743817263. The cubic root of 2825621400 is about 1413.7457868743.

Adding to 2825621400 its reverse (41265282), we get a palindrome (2866886682).

The spelling of 2825621400 in words is "two billion, eight hundred twenty-five million, six hundred twenty-one thousand, four hundred".