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2993474880 = 263451110499
BaseRepresentation
bin1011001001101100…
…1100110101000000
321201121202021120000
42302123030311000
522112312144010
61213012320000
7134116055004
oct26233146500
97647667500
102993474880
1112a6813a90
126b6613000
1338923b516
142057c8704
15127c057c0
hexb26ccd40

2993474880 has 280 divisors, whose sum is σ = 11617452000. Its totient is φ = 725621760.

The previous prime is 2993474857. The next prime is 2993474933. The reversal of 2993474880 is 884743992.

2993474880 is a `hidden beast` number, since 2 + 9 + 93 + 474 + 8 + 80 = 666.

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 Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 279871 + ... + 290369.

It is an arithmetic number, because the mean of its divisors is an integer number (41490900).

Almost surely, 22993474880 is an apocalyptic number.

2993474880 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 2993474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808726000).

2993474880 is an abundant number, since it is smaller than the sum of its proper divisors (8623977120).

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

2993474880 is a wasteful number, since it uses less digits than its factorization.

2993474880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10539 (or 10520 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 2993474880 is about 54712.6574021039. The cubic root of 2993474880 is about 1441.2031611112.

The spelling of 2993474880 in words is "two billion, nine hundred ninety-three million, four hundred seventy-four thousand, eight hundred eighty".