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2798974080 = 273257247211
BaseRepresentation
bin1010011011010100…
…1111010010000000
321020001202121121200
42212311033102000
521213014132310
61141423421200
7126234613200
oct24665172200
97201677550
102798974080
111206a47721
12661454800
13357b5b2a6
141c7a38400
15115ad59c0
hexa6d4f480

2798974080 has 576 divisors, whose sum is σ = 11536836480. Its totient is φ = 623185920.

The previous prime is 2798974069. The next prime is 2798974099. The reversal of 2798974080 is 804798972.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13265175 + ... + 13265385.

It is an arithmetic number, because the mean of its divisors is an integer number (20029230).

Almost surely, 22798974080 is an apocalyptic number.

2798974080 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 2798974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5768418240).

2798974080 is an abundant number, since it is smaller than the sum of its proper divisors (8737862400).

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

2798974080 is a wasteful number, since it uses less digits than its factorization.

2798974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 2798974080 is about 52905.3313003520. The cubic root of 2798974080 is about 1409.2875833674.

The spelling of 2798974080 in words is "two billion, seven hundred ninety-eight million, nine hundred seventy-four thousand, eighty".