2730236252000 has 192 divisors, whose sum is σ = 7020105490944. Its totient is φ = 1041589542400.

The previous prime is 2730236251997. The next prime is 2730236252021. The reversal of 2730236252000 is 2526320372.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31881239 + ... + 31966761.

It is an arithmetic number, because the mean of its divisors is an integer number (36563049432).

Almost surely, 2^{2730236252000} is an apocalyptic number.

2730236252000 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 2730236252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510052745472).

2730236252000 is an abundant number, since it is smaller than the sum of its proper divisors (4289869238944).

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

2730236252000 is a wasteful number, since it uses less digits than its factorization.

2730236252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85918 (or 85900 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The spelling of 2730236252000 in words is "two trillion, seven hundred thirty billion, two hundred thirty-six million, two hundred fifty-two thousand".