2775233988000 has 576 divisors, whose sum is σ = 10490287062528. Its totient is φ = 720051379200.

The previous prime is 2775233987993. The next prime is 2775233988011. The reversal of 2775233988000 is 8893325772.

2775233988000 is a `hidden beast` number, since 2 + 7 + 7 + 523 + 39 + 8 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35925417 + ... + 36002583.

It is an arithmetic number, because the mean of its divisors is an integer number (18212303928).

Almost surely, 2^{2775233988000} is an apocalyptic number.

2775233988000 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 2775233988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5245143531264).

2775233988000 is an abundant number, since it is smaller than the sum of its proper divisors (7715053074528).

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

2775233988000 is an equidigital number, since it uses as much as digits as its factorization.

2775233988000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77244 (or 77214 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2775233988000 in words is "two trillion, seven hundred seventy-five billion, two hundred thirty-three million, nine hundred eighty-eight thousand".