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2046140460 = 2233571323203
BaseRepresentation
bin111100111110101…
…1010000000101100
312021121011201001000
41321331122000230
513142302443320
6535011520300
7101463623040
oct17175320054
95247151030
102046140460
1195aaa1681
124912b9090
13267bb0b00
14155a6a020
15be978c90
hex79f5a02c

2046140460 has 288 divisors, whose sum is σ = 7880302080. Its totient is φ = 431578368.

The previous prime is 2046140431. The next prime is 2046140471. The reversal of 2046140460 is 640416402.

2046140460 is a `hidden beast` number, since 2 + 0 + 4 + 614 + 0 + 46 + 0 = 666.

2046140460 is digitally balanced in base 4, 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 (27).

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, 637219 + ... + 640421.

It is an arithmetic number, because the mean of its divisors is an integer number (27362160).

Almost surely, 22046140460 is an apocalyptic number.

2046140460 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 2046140460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940151040).

2046140460 is an abundant number, since it is smaller than the sum of its proper divisors (5834161620).

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

2046140460 is a wasteful number, since it uses less digits than its factorization.

2046140460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2046140460 is about 45234.2841216704. The cubic root of 2046140460 is about 1269.5363715740.

Adding to 2046140460 its reverse (640416402), we get a palindrome (2686556862).

The spelling of 2046140460 in words is "two billion, forty-six million, one hundred forty thousand, four hundred sixty".