2934005760 has 448 divisors, whose sum is σ = 11953036800. Its totient is φ = 668860416.

The previous prime is 2934005759. The next prime is 2934005807. The reversal of 2934005760 is 675004392.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7741251 + ... + 7741629.

Almost surely, 2^2934005760 is an apocalyptic number.

2934005760 is a gapful number since it is divisible by the number (20) 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 2934005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976518400).

2934005760 is an abundant number, since it is smaller than the sum of its proper divisors (9019031040).

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

2934005760 is an equidigital number, since it uses as much as digits as its factorization.

2934005760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2934005760 is about 54166.4634252597. The cubic root of 2934005760 is about 1431.5954872125.

The spelling of 2934005760 in words is "two billion, nine hundred thirty-four million, five thousand, seven hundred sixty".