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2056802400 = 253252285667
BaseRepresentation
bin111101010011000…
…0101000001100000
312022100020101110200
41322212011001200
513203020134100
6540032225200
7101653350312
oct17246050140
95270211420
102056802400
119660140a4
1249499b200
1326a174a53
141572437b2
15c0882e00
hex7a985060

2056802400 has 108 divisors (see below), whose sum is σ = 7252824852. Its totient is φ = 548478720.

The previous prime is 2056802389. The next prime is 2056802413. The reversal of 2056802400 is 42086502.

It is a super-2 number, since 2×20568024002 = 8460872225291520000, 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 17 ways as a sum of consecutive naturals, for example, 135634 + ... + 150033.

Almost surely, 22056802400 is an apocalyptic number.

2056802400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2056802400 is an abundant number, since it is smaller than the sum of its proper divisors (5196022452).

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

2056802400 is a wasteful number, since it uses less digits than its factorization.

2056802400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285693 (or 285677 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2056802400 is about 45351.9834185893. The cubic root of 2056802400 is about 1271.7376342701.

Adding to 2056802400 its reverse (42086502), we get a palindrome (2098888902).

The spelling of 2056802400 in words is "two billion, fifty-six million, eight hundred two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 285667 571334 857001 1142668 1428335 1714002 2285336 2571003 2856670 3428004 4285005 4570672 5142006 5713340 6856008 7141675 8570010 9141344 10284012 11426680 12855015 13712016 14283350 17140020 20568024 21425025 22853360 25710030 27424032 28566700 34280040 41136048 42850050 45706720 51420060 57133400 64275075 68560080 82272096 85700100 102840120 114266800 128550150 137120160 171400200 205680240 228533600 257100300 342800400 411360480 514200600 685600800 1028401200 2056802400