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2465001000 = 2332537113557
BaseRepresentation
bin1001001011101100…
…1110111000101000
320100210100000200100
42102323032320220
520022020013000
61044333305400
7115041106560
oct22273167050
96323300610
102465001000
111055479810
12589635260
133038c6c97
1419553dda0
15e6615a00
hex92ecee28

2465001000 has 384 divisors, whose sum is σ = 10390498560. Its totient is φ = 512064000.

The previous prime is 2465000999. The next prime is 2465001017. The reversal of 2465001000 is 1005642.

It is a happy number.

2465001000 is a `hidden beast` number, since 2 + 4 + 650 + 0 + 10 + 0 + 0 = 666.

2465001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 691222 + ... + 694778.

It is an arithmetic number, because the mean of its divisors is an integer number (27058590).

Almost surely, 22465001000 is an apocalyptic number.

2465001000 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 2465001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5195249280).

2465001000 is an abundant number, since it is smaller than the sum of its proper divisors (7925497560).

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

2465001000 is a wasteful number, since it uses less digits than its factorization.

2465001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2465001000 is about 49648.7764199683. The cubic root of 2465001000 is about 1350.8455608147.

Adding to 2465001000 its reverse (1005642), we get a palindrome (2466006642).

The spelling of 2465001000 in words is "two billion, four hundred sixty-five million, one thousand".