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2149070880 = 2535111912131
BaseRepresentation
bin1000000000011000…
…0011100000100000
312112202212010000210
42000012003200200
513400130232010
6553130014120
7104153541525
oct20006034040
95482763023
102149070880
11a03104840
124bb877340
1328330c398
141655c114c
15c8a0bb20
hex80183820

2149070880 has 192 divisors, whose sum is σ = 7427137536. Its totient is φ = 518016000.

The previous prime is 2149070873. The next prime is 2149070933. The reversal of 2149070880 is 880709412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1007415 + ... + 1009545.

It is an arithmetic number, because the mean of its divisors is an integer number (38683008).

Almost surely, 22149070880 is an apocalyptic number.

2149070880 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 2149070880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713568768).

2149070880 is an abundant number, since it is smaller than the sum of its proper divisors (5278066656).

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

2149070880 is a wasteful number, since it uses less digits than its factorization.

2149070880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 2149070880 is about 46358.0724362004. The cubic root of 2149070880 is about 1290.4769343983.

The spelling of 2149070880 in words is "two billion, one hundred forty-nine million, seventy thousand, eight hundred eighty".