2153345000 has 80 divisors (see below), whose sum is σ = 5067206100. Its totient is φ = 857600000.

The previous prime is 2153344987. The next prime is 2153345017. The reversal of 2153345000 is 5433512.

It can be written as a sum of positive squares in 10 ways, for example, as 68326756 + 2085018244 = 8266^2 + 45662^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1344200 + ... + 1345800.

Almost surely, 2^2153345000 is an apocalyptic number.

2153345000 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 2153345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533603050).

2153345000 is an abundant number, since it is smaller than the sum of its proper divisors (2913861100).

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

2153345000 is a wasteful number, since it uses less digits than its factorization.

2153345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 2153345000 is about 46404.1485214415. The cubic root of 2153345000 is about 1291.3318776220.

Adding to 2153345000 its reverse (5433512), we get a palindrome (2158778512).

The spelling of 2153345000 in words is "two billion, one hundred fifty-three million, three hundred forty-five thousand".