2298290400 has 432 divisors, whose sum is σ = 9567387648. Its totient is φ = 508032000.

The previous prime is 2298290381. The next prime is 2298290441. The reversal of 2298290400 is 40928922.

2298290400 is a `hidden beast` number, since 229 + 8 + 29 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1561665 + ... + 1563135.

Almost surely, 2^2298290400 is an apocalyptic number.

2298290400 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 2298290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4783693824).

2298290400 is an abundant number, since it is smaller than the sum of its proper divisors (7269097248).

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

2298290400 is a wasteful number, since it uses less digits than its factorization.

2298290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2298290400 is about 47940.4881076528. The cubic root of 2298290400 is about 1319.6789852987.

The spelling of 2298290400 in words is "two billion, two hundred ninety-eight million, two hundred ninety thousand, four hundred".