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2080874400 = 2535211232149
BaseRepresentation
bin111110000000111…
…1001111110100000
312101000112101001020
41330001321332200
513230200440100
6542252205440
7102365066133
oct17401717640
95330471036
102080874400
11978665810
124a0a69880
13272152737
1415a50c21a
15c2a3a5a0
hex7c079fa0

2080874400 has 432 divisors, whose sum is σ = 7776064800. Its totient is φ = 479283200.

The previous prime is 2080874399. The next prime is 2080874401. The reversal of 2080874400 is 44780802.

It is an interprime number because it is at equal distance from previous prime (2080874399) and next prime (2080874401).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2080874401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13965526 + ... + 13965674.

It is an arithmetic number, because the mean of its divisors is an integer number (18000150).

Almost surely, 22080874400 is an apocalyptic number.

2080874400 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 2080874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888032400).

2080874400 is an abundant number, since it is smaller than the sum of its proper divisors (5695190400).

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

2080874400 is a wasteful number, since it uses less digits than its factorization.

2080874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2080874400 is about 45616.6022408509. The cubic root of 2080874400 is about 1276.6797084869.

The spelling of 2080874400 in words is "two billion, eighty million, eight hundred seventy-four thousand, four hundred".