2900821400 has 96 divisors (see below), whose sum is σ = 6833268000. Its totient is φ = 1145164800.

The previous prime is 2900821397. The next prime is 2900821439. The reversal of 2900821400 is 41280092.

It is a self number, because there is not a number n which added to its sum of digits gives 2900821400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9267644 + ... + 9267956.

It is an arithmetic number, because the mean of its divisors is an integer number (71179875).

Almost surely, 2^2900821400 is an apocalyptic number.

2900821400 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 2900821400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416634000).

2900821400 is an abundant number, since it is smaller than the sum of its proper divisors (3932446600).

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

2900821400 is a wasteful number, since it uses less digits than its factorization.

2900821400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 2900821400 is about 53859.2740389248. The cubic root of 2900821400 is about 1426.1777725754.

The spelling of 2900821400 in words is "two billion, nine hundred million, eight hundred twenty-one thousand, four hundred".