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2058670560 = 253529712083
BaseRepresentation
bin111101010110100…
…1101000111100000
312022110202022002210
41322231031013200
513204004424220
6540140242120
7102005260662
oct17255150740
95273668083
102058670560
1196707a731
12495540340
1326a67a17b
141575ac532
15c0b016e0
hex7ab4d1e0

2058670560 has 192 divisors, whose sum is σ = 6806177280. Its totient is φ = 522332160.

The previous prime is 2058670553. The next prime is 2058670613. The reversal of 2058670560 is 650768502.

It is a happy number.

2058670560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20586705602 = 8476248949221427200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 987279 + ... + 989361.

It is an arithmetic number, because the mean of its divisors is an integer number (35448840).

Almost surely, 22058670560 is an apocalyptic number.

2058670560 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 2058670560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403088640).

2058670560 is an abundant number, since it is smaller than the sum of its proper divisors (4747506720).

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

2058670560 is a wasteful number, since it uses less digits than its factorization.

2058670560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 2058670560 is about 45372.5749765208. The cubic root of 2058670560 is about 1272.1225505911.

The spelling of 2058670560 in words is "two billion, fifty-eight million, six hundred seventy thousand, five hundred sixty".