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2881340640 = 253352347617
BaseRepresentation
bin1010101110111101…
…1100010011100000
321102210202021022000
42223233130103200
521400110400030
61153525044000
7131254664013
oct25357342340
97383667260
102881340640
111249494962
12684b56600
1336bc398b9
141d495937a
1511ce55860
hexabbdc4e0

2881340640 has 384 divisors, whose sum is σ = 10764472320. Its totient is φ = 718147584.

The previous prime is 2881340621. The next prime is 2881340653. The reversal of 2881340640 is 460431882.

2881340640 is a `hidden beast` number, since 2 + 8 + 8 + 1 + 3 + 4 + 0 + 640 = 666.

It is a super-3 number, since 3×28813406403 (a number of 29 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2881340595 and 2881340604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4669612 + ... + 4670228.

It is an arithmetic number, because the mean of its divisors is an integer number (28032480).

Almost surely, 22881340640 is an apocalyptic number.

2881340640 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 2881340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5382236160).

2881340640 is an abundant number, since it is smaller than the sum of its proper divisors (7883131680).

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

2881340640 is a wasteful number, since it uses less digits than its factorization.

2881340640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2881340640 is about 53678.1206824531. The cubic root of 2881340640 is about 1422.9780520607.

The spelling of 2881340640 in words is "two billion, eight hundred eighty-one million, three hundred forty thousand, six hundred forty".