2952735093000 has 1024 divisors, whose sum is σ = 12886788096000. Its totient is φ = 607554432000.

The previous prime is 2952735092971. The next prime is 2952735093017. The reversal of 2952735093000 is 3905372592.

2952735093000 is a `hidden beast` number, since 2 + 9 + 527 + 35 + 0 + 93 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 214130106 + ... + 214143894.

It is an arithmetic number, because the mean of its divisors is an integer number (12584754000).

Almost surely, 2^{2952735093000} is an apocalyptic number.

2952735093000 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 2952735093000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6443394048000).

2952735093000 is an abundant number, since it is smaller than the sum of its proper divisors (9934053003000).

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

2952735093000 is a wasteful number, since it uses less digits than its factorization.

2952735093000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13940 (or 13920 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 2952735093000 in words is "two trillion, nine hundred fifty-two billion, seven hundred thirty-five million, ninety-three thousand".