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2082593240 = 23571329109181
BaseRepresentation
bin111110000100001…
…1101100111011000
312101010202200211222
41330020131213120
513231120440430
6542353111212
7102415515260
oct17410354730
95333680758
102082593240
1197962a142
124a1558508
13272604bc0
1415a8387a0
15c2c799e5
hex7c21d9d8

2082593240 has 256 divisors, whose sum is σ = 6054048000. Its totient is φ = 627056640.

The previous prime is 2082593231. The next prime is 2082593263. The reversal of 2082593240 is 423952802.

Together with 3971454759 it forms a betrothed pair.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2082593240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11505950 + ... + 11506130.

It is an arithmetic number, because the mean of its divisors is an integer number (23648625).

Almost surely, 22082593240 is an apocalyptic number.

2082593240 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 2082593240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027024000).

2082593240 is an abundant number, since it is smaller than the sum of its proper divisors (3971454760).

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

2082593240 is a wasteful number, since it uses less digits than its factorization.

2082593240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 2082593240 is about 45635.4384223489. The cubic root of 2082593240 is about 1277.0311319430.

The spelling of 2082593240 in words is "two billion, eighty-two million, five hundred ninety-three thousand, two hundred forty".