2934168883200 has 780 divisors, whose sum is σ = 11508761109780. Its totient is φ = 736383467520.

The previous prime is 2934168883189. The next prime is 2934168883201. The reversal of 2934168883200 is 23888614392.

It can be written as a sum of positive squares in 6 ways, for example, as 44930433024 + 2889238450176 = 211968^2 + 1699776^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2934168883201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 140994396 + ... + 141015204.

Almost surely, 2^{2934168883200} is an apocalyptic number.

2934168883200 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 2934168883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754380554890).

2934168883200 is an abundant number, since it is smaller than the sum of its proper divisors (8574592226580).

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

2934168883200 is a wasteful number, since it uses less digits than its factorization.

2934168883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20872 (or 20836 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 2934168883200 in words is "two trillion, nine hundred thirty-four billion, one hundred sixty-eight million, eight hundred eighty-three thousand, two hundred".