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2149642880 = 275711181241
BaseRepresentation
bin1000000000100000…
…1111001010000000
312112210221011122222
42000020033022000
513400302033010
6553150150212
7104161443260
oct20010171200
95483834588
102149642880
11a03465570
124bbab2368
1328347c848
141656cd7a0
15c8ac1355
hex8020f280

2149642880 has 256 divisors, whose sum is σ = 6469182720. Its totient is φ = 663552000.

The previous prime is 2149642879. The next prime is 2149642883. The reversal of 2149642880 is 882469412.

It is a super-5 number, since 5×21496428805 (a number of 48 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (2149642883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8919560 + ... + 8919800.

It is an arithmetic number, because the mean of its divisors is an integer number (25270245).

Almost surely, 22149642880 is an apocalyptic number.

2149642880 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 2149642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234591360).

2149642880 is an abundant number, since it is smaller than the sum of its proper divisors (4319539840).

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

2149642880 is a wasteful number, since it uses less digits than its factorization.

2149642880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 2149642880 is about 46364.2413935567. The cubic root of 2149642880 is about 1290.5914160151.

The spelling of 2149642880 in words is "two billion, one hundred forty-nine million, six hundred forty-two thousand, eight hundred eighty".