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2380855680 = 2731257
BaseRepresentation
bin1000110111101000…
…1111100110000000
320010221000000000000
42031322033212000
514333444340210
61032130000000
7112666640130
oct21572174600
96127000000
102380855680
111011a27125
12565416000
132bc344b58
141882b8ac0
15de043ac0
hex8de8f980

2380855680 has 416 divisors, whose sum is σ = 9757250640. Its totient is φ = 544195584.

The previous prime is 2380855679. The next prime is 2380855693. The reversal of 2380855680 is 865580832.

It is a happy number.

2380855680 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 85 + 568 + 0 = 666.

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 51 ways as a sum of consecutive naturals, for example, 340122237 + ... + 340122243.

Almost surely, 22380855680 is an apocalyptic number.

2380855680 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 2380855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878625320).

2380855680 is an abundant number, since it is smaller than the sum of its proper divisors (7376394960).

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

2380855680 is an frugal number, since it uses more digits than its factorization.

2380855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2380855680 is about 48794.0127474673. The cubic root of 2380855680 is about 1335.2964371380.

The spelling of 2380855680 in words is "two billion, three hundred eighty million, eight hundred fifty-five thousand, six hundred eighty".