2733502464 has 520 divisors, whose sum is σ = 10275838848. Its totient is φ = 703365120.

The previous prime is 2733502441. The next prime is 2733502489. The reversal of 2733502464 is 4642053372.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25546699 + ... + 25546805.

Almost surely, 2^2733502464 is an apocalyptic number.

2733502464 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 2733502464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5137919424).

2733502464 is an abundant number, since it is smaller than the sum of its proper divisors (7542336384).

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

2733502464 is a wasteful number, since it uses less digits than its factorization.

2733502464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 2733502464 is about 52282.9079527908. The cubic root of 2733502464 is about 1398.2124232830.

The spelling of 2733502464 in words is "two billion, seven hundred thirty-three million, five hundred two thousand, four hundred sixty-four".