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2380879872 = 2113376151
BaseRepresentation
bin1000110111101001…
…0101100000000000
320010221001020012000
42031322111200000
514334001123442
61032130304000
7113000100510
oct21572254000
96127036160
102380879872
111011a43318
12565428000
132bc352b77
141882c3840
15de04ad4c
hex8de95800

2380879872 has 192 divisors, whose sum is σ = 8061580800. Its totient is φ = 680140800.

The previous prime is 2380879871. The next prime is 2380879883. The reversal of 2380879872 is 2789780832.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2380879871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383997 + ... + 390147.

It is an arithmetic number, because the mean of its divisors is an integer number (41987400).

Almost surely, 22380879872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2380879872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030790400).

2380879872 is an abundant number, since it is smaller than the sum of its proper divisors (5680700928).

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

2380879872 is an equidigital number, since it uses as much as digits as its factorization.

2380879872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6189 (or 6163 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 2380879872 is about 48794.2606461047. The cubic root of 2380879872 is about 1335.3009597951.

The spelling of 2380879872 in words is "two billion, three hundred eighty million, eight hundred seventy-nine thousand, eight hundred seventy-two".