2869656400 has 120 divisors (see below), whose sum is σ = 7468584480. Its totient is φ = 1053304320.

The previous prime is 2869656371. The next prime is 2869656403. The reversal of 2869656400 is 46569682.

2869656400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2869656403) 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, 929259 + ... + 932341.

It is an arithmetic number, because the mean of its divisors is an integer number (62238204).

Almost surely, 2^2869656400 is an apocalyptic number.

2869656400 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 2869656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734292240).

2869656400 is an abundant number, since it is smaller than the sum of its proper divisors (4598928080).

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

2869656400 is a wasteful number, since it uses less digits than its factorization.

2869656400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3293 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 2869656400 is about 53569.1739716042. The cubic root of 2869656400 is about 1421.0519877647.

The spelling of 2869656400 in words is "two billion, eight hundred sixty-nine million, six hundred fifty-six thousand, four hundred".