2934560640 has 512 divisors, whose sum is σ = 10998374400. Its totient is φ = 658022400.

The previous prime is 2934560597. The next prime is 2934560647. The reversal of 2934560640 is 460654392.

It is a super-2 number, since 2×2934560640² = 17223292299674419200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2934560647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28490829 + ... + 28490931.

It is an arithmetic number, because the mean of its divisors is an integer number (21481200).

Almost surely, 2^2934560640 is an apocalyptic number.

2934560640 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 2934560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499187200).

2934560640 is an abundant number, since it is smaller than the sum of its proper divisors (8063813760).

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

2934560640 is a wasteful number, since it uses less digits than its factorization.

2934560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 2934560640 is about 54171.5851715639. The cubic root of 2934560640 is about 1431.6857294385.

The spelling of 2934560640 in words is "two billion, nine hundred thirty-four million, five hundred sixty thousand, six hundred forty".