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2898008960 = 275721131271
BaseRepresentation
bin1010110010111100…
…0001101110000000
321110222010002221012
42230233001232000
521413342241320
61155322220052
7131546445500
oct25457015600
97428102835
102898008960
11125793a030
1268a654628
13372524702
141d6c57a00
1511e6494c5
hexacbc1b80

2898008960 has 384 divisors, whose sum is σ = 9108910080. Its totient is φ = 870912000.

The previous prime is 2898008959. The next prime is 2898008963. The reversal of 2898008960 is 698008982.

It is a junction number, because it is equal to n+sod(n) for n = 2898008899 and 2898008908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2898008963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10693625 + ... + 10693895.

It is an arithmetic number, because the mean of its divisors is an integer number (23721120).

Almost surely, 22898008960 is an apocalyptic number.

2898008960 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 2898008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554455040).

2898008960 is an abundant number, since it is smaller than the sum of its proper divisors (6210901120).

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

2898008960 is a wasteful number, since it uses less digits than its factorization.

2898008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 50.

The square root of 2898008960 is about 53833.1585549278. The cubic root of 2898008960 is about 1425.7167150750.

The spelling of 2898008960 in words is "two billion, eight hundred ninety-eight million, eight thousand, nine hundred sixty".