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2980858320 = 2434511193171
BaseRepresentation
bin1011000110101100…
…0100100111010000
321200202000021220000
42301223010213100
522101044431240
61211442050000
7133603610016
oct26153044720
97622007800
102980858320
11129a686a80
126b2349900
133867419bb
14203c628b6
15126a62430
hexb1ac49d0

2980858320 has 800 divisors, whose sum is σ = 12444917760. Its totient is φ = 653184000.

The previous prime is 2980858303. The next prime is 2980858337. The reversal of 2980858320 is 238580892.

It is an interprime number because it is at equal distance from previous prime (2980858303) and next prime (2980858337).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41983885 + ... + 41983955.

Almost surely, 22980858320 is an apocalyptic number.

2980858320 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 2980858320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6222458880).

2980858320 is an abundant number, since it is smaller than the sum of its proper divisors (9464059440).

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

2980858320 is a wasteful number, since it uses less digits than its factorization.

2980858320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2980858320 is about 54597.2372927422. The cubic root of 2980858320 is about 1439.1755697531.

The spelling of 2980858320 in words is "two billion, nine hundred eighty million, eight hundred fifty-eight thousand, three hundred twenty".