Search a number
-
+
2058442640 = 245103249811
BaseRepresentation
bin111101010110001…
…0101011110010000
312022110022201110022
41322230111132100
513203430131030
6540131323012
7102003321332
oct17254253620
95273281408
102058442640
11966a34471
12495450468
1326a5ca4c7
1415754d452
15c0aa8de5
hex7ab15790

2058442640 has 40 divisors (see below), whose sum is σ = 4832363328. Its totient is φ = 815379840.

The previous prime is 2058442627. The next prime is 2058442651. The reversal of 2058442640 is 462448502.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×20584426402 = 8474372204340339200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2058442640.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116666 + ... + 133145.

Almost surely, 22058442640 is an apocalyptic number.

2058442640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2058442640 is an abundant number, since it is smaller than the sum of its proper divisors (2773920688).

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

2058442640 is a wasteful number, since it uses less digits than its factorization.

2058442640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249927 (or 249921 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The square root of 2058442640 is about 45370.0632576151. The cubic root of 2058442640 is about 1272.0756023521.

The spelling of 2058442640 in words is "two billion, fifty-eight million, four hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1648 2060 4120 8240 249811 499622 999244 1249055 1998488 2498110 3996976 4996220 9992440 19984880 25730533 51461066 102922132 128652665 205844264 257305330 411688528 514610660 1029221320 2058442640