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2474790912 = 212321117359
BaseRepresentation
bin1001001110000010…
…0101000000000000
320101110202101220200
42103200211000000
520032021302122
61045323205200
7115220242566
oct22340450000
96343671820
102474790912
11105aa56050
12590976800
13305944029
1419696ba36
15e73eb5ac
hex93825000

2474790912 has 312 divisors, whose sum is σ = 8280118080. Its totient is φ = 703856640.

The previous prime is 2474790887. The next prime is 2474790959. The reversal of 2474790912 is 2190974742.

It is a happy number.

2474790912 is a `hidden beast` number, since 2 + 474 + 7 + 90 + 91 + 2 = 666.

It is a super-2 number, since 2×24747909122 = 12249180116235583488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6893389 + ... + 6893747.

It is an arithmetic number, because the mean of its divisors is an integer number (26538840).

Almost surely, 22474790912 is an apocalyptic number.

2474790912 is a gapful number since it is divisible by the number (22) 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 2474790912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140059040).

2474790912 is an abundant number, since it is smaller than the sum of its proper divisors (5805327168).

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

2474790912 is a wasteful number, since it uses less digits than its factorization.

2474790912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2474790912 is about 49747.2703974801. The cubic root of 2474790912 is about 1352.6315222486.

The spelling of 2474790912 in words is "two billion, four hundred seventy-four million, seven hundred ninety thousand, nine hundred twelve".