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2898080640 = 273357131997
BaseRepresentation
bin1010110010111101…
…0011001110000000
321110222020202021000
42230233103032000
521413402040030
61155323532000
7131550164460
oct25457231600
97428222230
102898080640
111257988974
1268a68a000
1337254b220
141d6c75ba0
1511e660860
hexacbd3380

2898080640 has 1024 divisors, whose sum is σ = 13434624000. Its totient is φ = 573308928.

The previous prime is 2898080629. The next prime is 2898080657. The reversal of 2898080640 is 460808982.

It is a happy number.

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 127 ways as a sum of consecutive naturals, for example, 29877072 + ... + 29877168.

It is an arithmetic number, because the mean of its divisors is an integer number (13119750).

Almost surely, 22898080640 is an apocalyptic number.

2898080640 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 2898080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6717312000).

2898080640 is an abundant number, since it is smaller than the sum of its proper divisors (10536543360).

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

2898080640 is a wasteful number, since it uses less digits than its factorization.

2898080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2898080640 is about 53833.8243114865. The cubic root of 2898080640 is about 1425.7284696432.

The spelling of 2898080640 in words is "two billion, eight hundred ninety-eight million, eighty thousand, six hundred forty".