2913849000 has 144 divisors (see below), whose sum is σ = 9866149020. Its totient is φ = 775660800.

The previous prime is 2913848933. The next prime is 2913849023. The reversal of 2913849000 is 9483192.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 101243844 + 2812605156 = 10062^2 + 53034^2 .

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 35 ways as a sum of consecutive naturals, for example, 5120716 + ... + 5121284.

Almost surely, 2^2913849000 is an apocalyptic number.

2913849000 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 2913849000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933074510).

2913849000 is an abundant number, since it is smaller than the sum of its proper divisors (6952300020).

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

2913849000 is an equidigital number, since it uses as much as digits as its factorization.

2913849000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2913849000 is about 53980.0796590742. The cubic root of 2913849000 is about 1428.3095743866.

The spelling of 2913849000 in words is "two billion, nine hundred thirteen million, eight hundred forty-nine thousand".