2283900138000 has 2240 divisors, whose sum is σ = 9661501624320. Its totient is φ = 520401024000.

The previous prime is 2283900137989. The next prime is 2283900138007. The reversal of 2283900138000 is 8310093822.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2283900138007) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 73674197985 + ... + 73674198015.

It is an arithmetic number, because the mean of its divisors is an integer number (4313170368).

Almost surely, 2^{2283900138000} is an apocalyptic number.

2283900138000 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 2283900138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830750812160).

2283900138000 is an abundant number, since it is smaller than the sum of its proper divisors (7377601486320).

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

2283900138000 is an equidigital number, since it uses as much as digits as its factorization.

2283900138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 2283900138000 in words is "two trillion, two hundred eighty-three billion, nine hundred million, one hundred thirty-eight thousand".