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2089069920 = 253357271139
BaseRepresentation
bin111110010000100…
…1010110101100000
312101120221202012000
41330201022311200
513234300214140
6543144004000
7102524541600
oct17441126540
95346852160
102089069920
11982253173
124a3760600
13273a61b62
1415b642c00
15c3608a30
hex7c84ad60

2089069920 has 576 divisors, whose sum is σ = 8687347200. Its totient is φ = 467389440.

The previous prime is 2089069919. The next prime is 2089069937. The reversal of 2089069920 is 299609802.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15029211 + ... + 15029349.

It is an arithmetic number, because the mean of its divisors is an integer number (15082200).

Almost surely, 22089069920 is an apocalyptic number.

2089069920 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 2089069920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343673600).

2089069920 is an abundant number, since it is smaller than the sum of its proper divisors (6598277280).

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

2089069920 is a wasteful number, since it uses less digits than its factorization.

2089069920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 2089069920 is about 45706.3444173782. The cubic root of 2089069920 is about 1278.3535797886.

The spelling of 2089069920 in words is "two billion, eighty-nine million, sixty-nine thousand, nine hundred twenty".