2733993372 has 192 divisors, whose sum is σ = 7548710400. Its totient is φ = 761425920.

The previous prime is 2733993349. The next prime is 2733993377.

2733993372 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2733993377) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19956088 + ... + 19956224.

It is an arithmetic number, because the mean of its divisors is an integer number (39316200).

Almost surely, 2^2733993372 is an apocalyptic number.

2733993372 is a gapful number since it is divisible by the number (22) 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 2733993372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774355200).

2733993372 is an abundant number, since it is smaller than the sum of its proper divisors (4814717028).

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

2733993372 is a wasteful number, since it uses less digits than its factorization.

2733993372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 354 counting only the distinct ones).

The product of its digits is 1285956, while the sum is 48.

The square root of 2733993372 is about 52287.6024694191. The cubic root of 2733993372 is about 1398.2961196381.

The spelling of 2733993372 in words is "two billion, seven hundred thirty-three million, nine hundred ninety-three thousand, three hundred seventy-two".