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2674994868 = 223472132997
BaseRepresentation
bin1001111101110001…
…0010111010110100
320220102110211010000
42133130102322310
520434244313433
61121234231300
7123201036600
oct23734227264
96812424100
102674994868
111152a68267
12627a25530
13338270100
141b53a4500
15109c96113
hex9f712eb4

2674994868 has 270 divisors, whose sum is σ = 8817386886. Its totient is φ = 704785536.

The previous prime is 2674994851. The next prime is 2674994891. The reversal of 2674994868 is 8684994762.

2674994868 is a `hidden beast` number, since 2 + 67 + 4 + 99 + 486 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 109369764 + 2565625104 = 10458^2 + 50652^2 .

It is a Smith number, since the sum of its digits (63) 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 (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2682546 + ... + 2683542.

Almost surely, 22674994868 is an apocalyptic number.

2674994868 is a gapful number since it is divisible by the number (28) 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 2674994868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408693443).

2674994868 is an abundant number, since it is smaller than the sum of its proper divisors (6142392018).

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

2674994868 is a wasteful number, since it uses less digits than its factorization.

2674994868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1022 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The square root of 2674994868 is about 51720.3525510026. The cubic root of 2674994868 is about 1388.1646615382.

The spelling of 2674994868 in words is "two billion, six hundred seventy-four million, nine hundred ninety-four thousand, eight hundred sixty-eight".