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2042214336 = 26332983491
BaseRepresentation
bin111100110111001…
…1011011111000000
312021022210020102000
41321232123133000
513140301324321
6534351424000
7101415351441
oct17156333700
95238706360
102042214336
1195885a948
1248bb25000
13267137a66
141553272c8
15be450826
hex79b9b7c0

2042214336 has 224 divisors, whose sum is σ = 6298387200. Its totient is φ = 648023040.

The previous prime is 2042214331. The next prime is 2042214341. The reversal of 2042214336 is 6334122402.

2042214336 is a `hidden beast` number, since 2 + 0 + 4 + 221 + 433 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2042214331) and next prime (2042214341).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042214331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4159051 + ... + 4159541.

It is an arithmetic number, because the mean of its divisors is an integer number (28117800).

Almost surely, 22042214336 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 2042214336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149193600).

2042214336 is an abundant number, since it is smaller than the sum of its proper divisors (4256172864).

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

2042214336 is a wasteful number, since it uses less digits than its factorization.

2042214336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2042214336 is about 45190.8656256992. The cubic root of 2042214336 is about 1268.7238583401.

Adding to 2042214336 its reverse (6334122402), we get a palindrome (8376336738).

The spelling of 2042214336 in words is "two billion, forty-two million, two hundred fourteen thousand, three hundred thirty-six".