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2443420980 = 223257111371191
BaseRepresentation
bin1001000110100011…
…1010010100110100
320022021201122110100
42101220322110310
520001003432410
61042242554100
7114356510220
oct22150722464
96267648410
102443420980
11104427a390
12582368930
132cc2ac640
14192723780
15e47a18c0
hex91a3a534

2443420980 has 576 divisors, whose sum is σ = 10144382976. Its totient is φ = 459648000.

The previous prime is 2443420951. The next prime is 2443421003. The reversal of 2443420980 is 890243442.

2443420980 is a `hidden beast` number, since 2 + 443 + 4 + 209 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12792685 + ... + 12792875.

It is an arithmetic number, because the mean of its divisors is an integer number (17611776).

Almost surely, 22443420980 is an apocalyptic number.

2443420980 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 2443420980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5072191488).

2443420980 is an abundant number, since it is smaller than the sum of its proper divisors (7700961996).

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

2443420980 is a wasteful number, since it uses less digits than its factorization.

2443420980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2443420980 is about 49430.9718698712. The cubic root of 2443420980 is about 1346.8919776536.

The spelling of 2443420980 in words is "two billion, four hundred forty-three million, four hundred twenty thousand, nine hundred eighty".