2190434400 has 720 divisors, whose sum is σ = 9981861120. Its totient is φ = 454118400.

The previous prime is 2190434347. The next prime is 2190434401. The reversal of 2190434400 is 44340912.

2190434400 is a `hidden beast` number, since 2 + 190 + 434 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190434401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4989381 + ... + 4989819.

It is an arithmetic number, because the mean of its divisors is an integer number (13863696).

Almost surely, 2^2190434400 is an apocalyptic number.

2190434400 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 2190434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990930560).

2190434400 is an abundant number, since it is smaller than the sum of its proper divisors (7791426720).

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

2190434400 is a wasteful number, since it uses less digits than its factorization.

2190434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2190434400 is about 46802.0768769934. The cubic root of 2190434400 is about 1298.7037177164.

The spelling of 2190434400 in words is "two billion, one hundred ninety million, four hundred thirty-four thousand, four hundred".