2799342000 has 480 divisors, whose sum is σ = 12040479360. Its totient is φ = 590284800.

The previous prime is 2799341999. The next prime is 2799342017. The reversal of 2799342000 is 2439972.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1637146 + ... + 1638854.

It is an arithmetic number, because the mean of its divisors is an integer number (25084332).

Almost surely, 2^2799342000 is an apocalyptic number.

2799342000 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 2799342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6020239680).

2799342000 is an abundant number, since it is smaller than the sum of its proper divisors (9241137360).

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

2799342000 is a wasteful number, since it uses less digits than its factorization.

2799342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2799342000 is about 52908.8083403888. The cubic root of 2799342000 is about 1409.3493300831.

The spelling of 2799342000 in words is "two billion, seven hundred ninety-nine million, three hundred forty-two thousand".