2869416900 has 252 divisors, whose sum is σ = 10671247552. Its totient is φ = 655750080.

The previous prime is 2869416899. The next prime is 2869416923. The reversal of 2869416900 is 96149682.

It is a happy number.

2869416900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×2869416900² = 16467106692011220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 507489 + ... + 513111.

Almost surely, 2^2869416900 is an apocalyptic number.

2869416900 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 2869416900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5335623776).

2869416900 is an abundant number, since it is smaller than the sum of its proper divisors (7801830652).

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

2869416900 is a wasteful number, since it uses less digits than its factorization.

2869416900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5662 (or 5640 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2869416900 is about 53566.9384975472. The cubic root of 2869416900 is about 1421.0124532500.

The spelling of 2869416900 in words is "two billion, eight hundred sixty-nine million, four hundred sixteen thousand, nine hundred".