2733351264 has 384 divisors, whose sum is σ = 9523906560. Its totient is φ = 746496000.

The previous prime is 2733351241. The next prime is 2733351281. The reversal of 2733351264 is 4621533372.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 18101589 + ... + 18101739.

It is an arithmetic number, because the mean of its divisors is an integer number (24801840).

Almost surely, 2^2733351264 is an apocalyptic number.

2733351264 is a gapful number since it is divisible by the number (24) 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 2733351264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761953280).

2733351264 is an abundant number, since it is smaller than the sum of its proper divisors (6790555296).

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

2733351264 is a wasteful number, since it uses less digits than its factorization.

2733351264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 277 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 2733351264 is about 52281.4619535453. The cubic root of 2733351264 is about 1398.1866427299.

The spelling of 2733351264 in words is "two billion, seven hundred thirty-three million, three hundred fifty-one thousand, two hundred sixty-four".