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2041122400 = 25522551403
BaseRepresentation
bin111100110101001…
…0000111001100000
312021020201202112221
41321222100321200
513140011404100
6534312200424
7101403153112
oct17152207140
95236652487
102041122400
11958184519
1248b699114
13266b44a45
141551213b2
15be2d701a
hex79a90e60

2041122400 has 36 divisors (see below), whose sum is σ = 4982892012. Its totient is φ = 816448640.

The previous prime is 2041122389. The next prime is 2041122431. The reversal of 2041122400 is 42211402.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1274902 + ... + 1276501.

It is an arithmetic number, because the mean of its divisors is an integer number (138413667).

Almost surely, 22041122400 is an apocalyptic number.

2041122400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2041122400 is an abundant number, since it is smaller than the sum of its proper divisors (2941769612).

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

2041122400 is a wasteful number, since it uses less digits than its factorization.

2041122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551423 (or 2551410 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2041122400 is about 45178.7826307881. The cubic root of 2041122400 is about 1268.4976966008.

Adding to 2041122400 its reverse (42211402), we get a palindrome (2083333802).

The spelling of 2041122400 in words is "two billion, forty-one million, one hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 2551403 5102806 10205612 12757015 20411224 25514030 40822448 51028060 63785075 81644896 102056120 127570150 204112240 255140300 408224480 510280600 1020561200 2041122400