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2580968430 = 232546162207
BaseRepresentation
bin1001100111010110…
…0111001111101110
320122212112210002100
42121311213033232
520241211442210
61104035035530
7120646604205
oct23165471756
96585483070
102580968430
111104986867
1260043bba6
1332193b571
141a6aca23c
151018c15c0
hex99d673ee

2580968430 has 48 divisors (see below), whose sum is σ = 6725182464. Its totient is φ = 686754240.

The previous prime is 2580968389. The next prime is 2580968431. The reversal of 2580968430 is 348690852.

2580968430 is a `hidden beast` number, since 2 + 580 + 9 + 68 + 4 + 3 + 0 = 666.

It is a super-2 number, since 2×25809684302 = 13322796073313329800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2580968431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10387 + ... + 72593.

It is an arithmetic number, because the mean of its divisors is an integer number (140107968).

Almost surely, 22580968430 is an apocalyptic number.

2580968430 is an abundant number, since it is smaller than the sum of its proper divisors (4144214034).

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

2580968430 is a wasteful number, since it uses less digits than its factorization.

2580968430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62681 (or 62678 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2580968430 is about 50803.2324758966. The cubic root of 2580968430 is about 1371.7055551502.

The spelling of 2580968430 in words is "two billion, five hundred eighty million, nine hundred sixty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 461 922 1383 2305 2766 4149 4610 6915 8298 13830 20745 41490 62207 124414 186621 311035 373242 559863 622070 933105 1119726 1866210 2799315 5598630 28677427 57354854 86032281 143387135 172064562 258096843 286774270 430161405 516193686 860322810 1290484215 2580968430