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2097789840 = 2435531592
BaseRepresentation
bin111110100001001…
…1011101110010000
312102012100202200000
41331002123232100
513244013233330
6544054530000
7102661630236
oct17502335620
95365322600
102097789840
11987169613
124a6666900
132757c5b83
1415c872956
15c427c560
hex7d09bb90

2097789840 has 360 divisors, whose sum is σ = 7671675648. Its totient is φ = 532189440.

The previous prime is 2097789839. The next prime is 2097789913. The reversal of 2097789840 is 489877902.

2097789840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35555731 + ... + 35555789.

Almost surely, 22097789840 is an apocalyptic number.

2097789840 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 2097789840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3835837824).

2097789840 is an abundant number, since it is smaller than the sum of its proper divisors (5573885808).

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

2097789840 is an equidigital number, since it uses as much as digits as its factorization.

2097789840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 2097789840 is about 45801.6357786488. The cubic root of 2097789840 is about 1280.1297557262.

The spelling of 2097789840 in words is "two billion, ninety-seven million, seven hundred eighty-nine thousand, eight hundred forty".