2158790400 has 648 divisors, whose sum is σ = 8808863280. Its totient is φ = 514252800.

The previous prime is 2158790351. The next prime is 2158790423. The reversal of 2158790400 is 40978512.

It is a super-2 number, since 2×2158790400² = 9320751982264320000, which contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69638385 + ... + 69638415.

Almost surely, 2^2158790400 is an apocalyptic number.

2158790400 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 2158790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404431640).

2158790400 is an abundant number, since it is smaller than the sum of its proper divisors (6650072880).

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

2158790400 is a wasteful number, since it uses less digits than its factorization.

2158790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2158790400 is about 46462.7851080841. The cubic root of 2158790400 is about 1292.4194722778.

The spelling of 2158790400 in words is "two billion, one hundred fifty-eight million, seven hundred ninety thousand, four hundred".