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2630113920 = 273257374143
BaseRepresentation
bin1001110011000100…
…0101101010000000
320210022000122000200
42130301011222000
520341302121140
61112552245200
7122114412420
oct23461055200
96708018020
102630113920
11112a6a3575
126149a0800
1332bb87a35
141ad440480
15105d7d030
hex9cc45a80

2630113920 has 768 divisors, whose sum is σ = 11174042880. Its totient is φ = 557383680.

The previous prime is 2630113909. The next prime is 2630113933. The reversal of 2630113920 is 293110362.

2630113920 is a `hidden beast` number, since 2 + 630 + 1 + 1 + 3 + 9 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61165419 + ... + 61165461.

It is an arithmetic number, because the mean of its divisors is an integer number (14549535).

Almost surely, 22630113920 is an apocalyptic number.

2630113920 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 2630113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587021440).

2630113920 is an abundant number, since it is smaller than the sum of its proper divisors (8543928960).

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

2630113920 is a wasteful number, since it uses less digits than its factorization.

2630113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2630113920 is about 51284.6362958733. The cubic root of 2630113920 is about 1380.3573113832.

The spelling of 2630113920 in words is "two billion, six hundred thirty million, one hundred thirteen thousand, nine hundred twenty".