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2040324000 = 2535311132941
BaseRepresentation
bin111100110011100…
…1101111110100000
312021012020012100120
41321213031332200
513134310332000
6534243120240
7101363316321
oct17147157640
95235205316
102040324000
11957789690
1248b373080
13266925510
14154d94448
15be1ca6a0
hex799cdfa0

2040324000 has 768 divisors, whose sum is σ = 8321564160. Its totient is φ = 430080000.

The previous prime is 2040323963. The next prime is 2040324007. The reversal of 2040324000 is 4230402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2040324007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49763980 + ... + 49764020.

It is an arithmetic number, because the mean of its divisors is an integer number (10835370).

Almost surely, 22040324000 is an apocalyptic number.

2040324000 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 2040324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160782080).

2040324000 is an abundant number, since it is smaller than the sum of its proper divisors (6281240160).

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

2040324000 is a wasteful number, since it uses less digits than its factorization.

2040324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2040324000 is about 45169.9457604279. The cubic root of 2040324000 is about 1268.3322809713.

Adding to 2040324000 its reverse (4230402), we get a palindrome (2044554402).

The spelling of 2040324000 in words is "two billion, forty million, three hundred twenty-four thousand".