2989226400 has 144 divisors (see below), whose sum is σ = 9782373888. Its totient is φ = 792832000.

The previous prime is 2989226393. The next prime is 2989226407. The reversal of 2989226400 is 46229892.

2989226400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2989226393) and next prime (2989226407).

It is not an unprimeable number, because it can be changed into a prime (2989226407) 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, 455140 + ... + 461660.

It is an arithmetic number, because the mean of its divisors is an integer number (67933152).

Almost surely, 2^2989226400 is an apocalyptic number.

2989226400 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 2989226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4891186944).

2989226400 is an abundant number, since it is smaller than the sum of its proper divisors (6793147488).

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

2989226400 is a wasteful number, since it uses less digits than its factorization.

2989226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6735 (or 6722 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2989226400 is about 54673.8182313985. The cubic root of 2989226400 is about 1440.5210305902.

The spelling of 2989226400 in words is "two billion, nine hundred eighty-nine million, two hundred twenty-six thousand, four hundred".