2730910464 has 360 divisors, whose sum is σ = 8832434688. Its totient is φ = 836075520.

The previous prime is 2730910463. The next prime is 2730910477. The reversal of 2730910464 is 4640190372.

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

It is not an unprimeable number, because it can be changed into a prime (2730910463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21503169 + ... + 21503295.

Almost surely, 2^2730910464 is an apocalyptic number.

2730910464 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 2730910464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416217344).

2730910464 is an abundant number, since it is smaller than the sum of its proper divisors (6101524224).

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

2730910464 is a wasteful number, since it uses less digits than its factorization.

2730910464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2730910464 is about 52258.1138580412. The cubic root of 2730910464 is about 1397.7703393300.

It can be divided in two parts, 27309 and 10464, that added together give a palindrome (37773).

The spelling of 2730910464 in words is "two billion, seven hundred thirty million, nine hundred ten thousand, four hundred sixty-four".