Search a number
-
+
2881050480 = 24325711157331
BaseRepresentation
bin1010101110111001…
…0101011101110000
321102210012112021100
42223232111131300
521400022103410
61153514524400
7131252345040
oct25356253560
97383175240
102881050480
111249306960
12684a36700
1336bb677c9
141d48c1720
1511cde98c0
hexabb95770

2881050480 has 480 divisors, whose sum is σ = 12176506368. Its totient is φ = 593049600.

The previous prime is 2881050467. The next prime is 2881050481. The reversal of 2881050480 is 840501882.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2881050481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8703915 + ... + 8704245.

Almost surely, 22881050480 is an apocalyptic number.

2881050480 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 2881050480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088253184).

2881050480 is an abundant number, since it is smaller than the sum of its proper divisors (9295455888).

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

2881050480 is a wasteful number, since it uses less digits than its factorization.

2881050480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 2881050480 is about 53675.4178372186. The cubic root of 2881050480 is about 1422.9302843461.

The spelling of 2881050480 in words is "two billion, eight hundred eighty-one million, fifty thousand, four hundred eighty".