2190640400 has 120 divisors (see below), whose sum is σ = 6001506504. Its totient is φ = 761241600.

The previous prime is 2190640391. The next prime is 2190640411. The reversal of 2190640400 is 40460912.

It can be written as a sum of positive squares in 12 ways, for example, as 802928896 + 1387711504 = 28336^2 + 37252^2 .

It is a super-2 number, since 2×2190640400² = 9597810724224320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2190640400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76010 + ... + 100790.

Almost surely, 2^2190640400 is an apocalyptic number.

2190640400 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 2190640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000753252).

2190640400 is an abundant number, since it is smaller than the sum of its proper divisors (3810866104).

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

2190640400 is a wasteful number, since it uses less digits than its factorization.

2190640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24829 (or 24818 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2190640400 is about 46804.2775822894. The cubic root of 2190640400 is about 1298.7444287552.

The spelling of 2190640400 in words is "two billion, one hundred ninety million, six hundred forty thousand, four hundred".