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2097120000 = 2835417257
BaseRepresentation
bin111110011111111…
…1000001100000000
312102011002201211010
41330333320030000
513243330320000
6544032320520
7102653140323
oct17477701400
95364081733
102097120000
11986851328
124a63a3140
13275620011
1415c73a7ba
15c4198d50
hex7cff8300

2097120000 has 360 divisors, whose sum is σ = 7413514416. Its totient is φ = 524288000.

The previous prime is 2097119989. The next prime is 2097120001. The reversal of 2097120000 is 217902.

It is a happy number.

It is a zygodrome in base 2.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2570 × 2550 × 320.

It is not an unprimeable number, because it can be changed into a prime (2097120001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8159872 + ... + 8160128.

Almost surely, 22097120000 is an apocalyptic number.

2097120000 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 2097120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706757208).

2097120000 is an abundant number, since it is smaller than the sum of its proper divisors (5316394416).

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

2097120000 is an equidigital number, since it uses as much as digits as its factorization.

2097120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 2097120000 is about 45794.3227922414. The cubic root of 2097120000 is about 1279.9934895502.

Adding to 2097120000 its reverse (217902), we get a palindrome (2097337902).

The spelling of 2097120000 in words is "two billion, ninety-seven million, one hundred twenty thousand".