2723382252000 has 1728 divisors, whose sum is σ = 11296381824000. Its totient is φ = 618353049600.

The previous prime is 2723382251987. The next prime is 2723382252007. The reversal of 2723382252000 is 2522833272.

It is a happy number.

2723382252000 is a `hidden beast` number, since 2 + 7 + 23 + 382 + 252 + 0 + 0 + 0 = 666.

It is a super-4 number, since 4×2723382252000⁴ (a number of 51 digits) contains 4444 as substring.

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 (2723382252007) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4546547701 + ... + 4546548299.

It is an arithmetic number, because the mean of its divisors is an integer number (6537258000).

Almost surely, 2^{2723382252000} is an apocalyptic number.

2723382252000 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 2723382252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648190912000).

2723382252000 is an abundant number, since it is smaller than the sum of its proper divisors (8572999572000).

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

2723382252000 is a wasteful number, since it uses less digits than its factorization.

2723382252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 2723382252000 in words is "two trillion, seven hundred twenty-three billion, three hundred eighty-two million, two hundred fifty-two thousand".