2277941000400 has 840 divisors, whose sum is σ = 9301935228320. Its totient is φ = 531195356160.

The previous prime is 2277941000369. The next prime is 2277941000453. The reversal of 2277941000400 is 40001497722.

2277941000400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 167 ways as a sum of consecutive naturals, for example, 72009387 + ... + 72041013.

Almost surely, 2^{2277941000400} is an apocalyptic number.

2277941000400 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 2277941000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650967614160).

2277941000400 is an abundant number, since it is smaller than the sum of its proper divisors (7023994227920).

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

2277941000400 is a wasteful number, since it uses less digits than its factorization.

2277941000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31695 (or 31669 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 2277941000400 in words is "two trillion, two hundred seventy-seven billion, nine hundred forty-one million, four hundred", and thus it is an aban number.