2022780038400 has 1296 divisors, whose sum is σ = 8252121830400. Its totient is φ = 484415078400.

The previous prime is 2022780038399. The next prime is 2022780038407. The reversal of 2022780038400 is 48300872202.

2022780038400 is a `hidden beast` number, since 2 + 0 + 2 + 278 + 0 + 0 + 384 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022780038407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1860882657 + ... + 1860883743.

Almost surely, 2^{2022780038400} is an apocalyptic number.

2022780038400 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 2022780038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126060915200).

2022780038400 is an abundant number, since it is smaller than the sum of its proper divisors (6229341792000).

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

2022780038400 is a wasteful number, since it uses less digits than its factorization.

2022780038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 2022780038400 in words is "two trillion, twenty-two billion, seven hundred eighty million, thirty-eight thousand, four hundred".