2149770000 has 400 divisors, whose sum is σ = 8227866240. Its totient is φ = 473088000.

The previous prime is 2149769983. The next prime is 2149770001. The reversal of 2149770000 is 779412.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×2149770000² = 9243022105800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2149770000.

It is not an unprimeable number, because it can be changed into a prime (2149770001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6089824 + ... + 6090176.

Almost surely, 2^2149770000 is an apocalyptic number.

2149770000 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 2149770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113933120).

2149770000 is an abundant number, since it is smaller than the sum of its proper divisors (6078096240).

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

2149770000 is a wasteful number, since it uses less digits than its factorization.

2149770000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 2149770000 is about 46365.6122573616. The cubic root of 2149770000 is about 1290.6168553952.

The spelling of 2149770000 in words is "two billion, one hundred forty-nine million, seven hundred seventy thousand".