2022140400 has 240 divisors, whose sum is σ = 7515542784. Its totient is φ = 455178240.

The previous prime is 2022140399. The next prime is 2022140437. The reversal of 2022140400 is 40412202.

2022140400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2022140400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561004 + ... + 564596.

Almost surely, 2^2022140400 is an apocalyptic number.

2022140400 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 2022140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757771392).

2022140400 is an abundant number, since it is smaller than the sum of its proper divisors (5493402384).

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

2022140400 is a wasteful number, since it uses less digits than its factorization.

2022140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2022140400 is about 44968.2154415761. The cubic root of 2022140400 is about 1264.5531914707.

Adding to 2022140400 its reverse (40412202), we get a palindrome (2062552602).

The spelling of 2022140400 in words is "two billion, twenty-two million, one hundred forty thousand, four hundred".