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2012880444 = 22317192512069
BaseRepresentation
bin111011111111010…
…0001111000111100
312012021120220212120
41313332201320330
513110244133234
6531423002540
7100611126051
oct16776417074
95167526776
102012880444
11943244963
12482139450
13261037023
1415148d028
15bbaa9049
hex77fa1e3c

2012880444 has 96 divisors (see below), whose sum is σ = 5258131200. Its totient is φ = 595584000.

The previous prime is 2012880433. The next prime is 2012880491. The reversal of 2012880444 is 4440882102.

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, 971842 + ... + 973910.

It is an arithmetic number, because the mean of its divisors is an integer number (54772200).

Almost surely, 22012880444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012880444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629065600).

2012880444 is an abundant number, since it is smaller than the sum of its proper divisors (3245250756).

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

2012880444 is a wasteful number, since it uses less digits than its factorization.

2012880444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 2012880444 is about 44865.1361749856. The cubic root of 2012880444 is about 1262.6199879947.

It can be divided in two parts, 2012 and 880444, that added together give a triangular number (882456 = T1328).

The spelling of 2012880444 in words is "two billion, twelve million, eight hundred eighty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 251 323 502 646 753 969 1004 1292 1506 1938 2069 3012 3876 4138 4267 4769 6207 8276 8534 9538 12414 12801 14307 17068 19076 24828 25602 28614 35173 39311 51204 57228 70346 78622 81073 105519 117933 140692 157244 162146 211038 235866 243219 324292 422076 471732 486438 519319 668287 972876 1038638 1336574 1557957 2004861 2077276 2673148 3115914 4009722 6231828 8019444 8828423 9867061 17656846 19734122 26485269 29601183 35313692 39468244 52970538 59202366 105941076 118404732 167740037 335480074 503220111 670960148 1006440222 2012880444