2934188640 has 144 divisors (see below), whose sum is σ = 10034702496. Its totient is φ = 780748800.

The previous prime is 2934188629. The next prime is 2934188641. The reversal of 2934188640 is 468814392.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2934188641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 748285 + ... + 752195.

It is an arithmetic number, because the mean of its divisors is an integer number (69685434).

Almost surely, 2^2934188640 is an apocalyptic number.

2934188640 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 2934188640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017351248).

2934188640 is an abundant number, since it is smaller than the sum of its proper divisors (7100513856).

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

2934188640 is a wasteful number, since it uses less digits than its factorization.

2934188640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4453 (or 4442 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2934188640 is about 54168.1515283658. The cubic root of 2934188640 is about 1431.6252309332.

The spelling of 2934188640 in words is "two billion, nine hundred thirty-four million, one hundred eighty-eight thousand, six hundred forty".