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2074248864 = 25337332887
BaseRepresentation
bin111101110100010…
…1000011010100000
312100120001202112000
41323220220122200
513222001430424
6541454204000
7102254552532
oct17350503240
95316052460
102074248864
1197494a966
1249a7b3600
13270972abc
141596a5852
15c217c3c9
hex7ba286a0

2074248864 has 96 divisors (see below), whose sum is σ = 6132954240. Its totient is φ = 681924096.

The previous prime is 2074248853. The next prime is 2074248881. The reversal of 2074248864 is 4688424702.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46629 + ... + 79515.

It is an arithmetic number, because the mean of its divisors is an integer number (63884940).

Almost surely, 22074248864 is an apocalyptic number.

2074248864 is a gapful number since it is divisible by the number (24) 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 2074248864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066477120).

2074248864 is an abundant number, since it is smaller than the sum of its proper divisors (4058705376).

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

2074248864 is a wasteful number, since it uses less digits than its factorization.

2074248864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32979 (or 32965 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 2074248864 is about 45543.9223607278. The cubic root of 2074248864 is about 1275.3232785788.

The spelling of 2074248864 in words is "two billion, seventy-four million, two hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 96 108 144 146 216 219 288 292 432 438 584 657 864 876 1168 1314 1752 1971 2336 2628 3504 3942 5256 7008 7884 10512 15768 21024 31536 32887 63072 65774 98661 131548 197322 263096 295983 394644 526192 591966 789288 887949 1052384 1183932 1578576 1775898 2367864 2400751 3157152 3551796 4735728 4801502 7103592 7202253 9471456 9603004 14207184 14404506 19206008 21606759 28414368 28809012 38412016 43213518 57618024 64820277 76824032 86427036 115236048 129640554 172854072 230472096 259281108 345708144 518562216 691416288 1037124432 2074248864