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2149044480 = 28335115653
BaseRepresentation
bin1000000000010111…
…1101000100000000
312112202210202211000
42000011331010000
513400123410410
6553125252000
7104153401542
oct20005750400
95482722730
102149044480
11a03096a20
124bb864000
1328330036b
141655b5692
15c8a03dc0
hex8017d100

2149044480 has 288 divisors, whose sum is σ = 8320878720. Its totient is φ = 520888320.

The previous prime is 2149044473. The next prime is 2149044481. The reversal of 2149044480 is 844409412.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (2149044481) 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, 377334 + ... + 382986.

It is an arithmetic number, because the mean of its divisors is an integer number (28891940).

Almost surely, 22149044480 is an apocalyptic number.

2149044480 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 2149044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160439360).

2149044480 is an abundant number, since it is smaller than the sum of its proper divisors (6171834240).

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

2149044480 is a wasteful number, since it uses less digits than its factorization.

2149044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694 (or 5674 counting only the distinct ones).

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

The square root of 2149044480 is about 46357.7876952729. The cubic root of 2149044480 is about 1290.4716501409.

The spelling of 2149044480 in words is "two billion, one hundred forty-nine million, forty-four thousand, four hundred eighty".