2793333972 has 192 divisors, whose sum is σ = 7876528128. Its totient is φ = 759360000.

The previous prime is 2793333931. The next prime is 2793334009.

2793333972 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12305323 + ... + 12305549.

It is an arithmetic number, because the mean of its divisors is an integer number (41023584).

Almost surely, 2^2793333972 is an apocalyptic number.

2793333972 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 2793333972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938264064).

2793333972 is an abundant number, since it is smaller than the sum of its proper divisors (5083194156).

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

2793333972 is a wasteful number, since it uses less digits than its factorization.

2793333972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 428 counting only the distinct ones).

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

The square root of 2793333972 is about 52852.0006433058. Note that the first 3 decimals coincide. The cubic root of 2793333972 is about 1408.3403459318.

The spelling of 2793333972 in words is "two billion, seven hundred ninety-three million, three hundred thirty-three thousand, nine hundred seventy-two".