2890886400 has 324 divisors, whose sum is σ = 10675566720. Its totient is φ = 745574400.

The previous prime is 2890886389. The next prime is 2890886413. The reversal of 2890886400 is 46880982.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1784791 + ... + 1786409.

It is an arithmetic number, because the mean of its divisors is an integer number (32949280).

Almost surely, 2^2890886400 is an apocalyptic number.

2890886400 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 2890886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337783360).

2890886400 is an abundant number, since it is smaller than the sum of its proper divisors (7784680320).

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

2890886400 is a wasteful number, since it uses less digits than its factorization.

2890886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2890886400 is about 53766.9638346820. The cubic root of 2890886400 is about 1424.5477419835.

The spelling of 2890886400 in words is "two billion, eight hundred ninety million, eight hundred eighty-six thousand, four hundred".