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2042804615040 = 27325767756191
BaseRepresentation
bin11101101110100000101…
…001001011011110000000
321020021211120021121000200
4131232200221023132000
5231432130440140130
64202241304245200
7300405413505060
oct35564051133600
97207746247020
102042804615040
11718391a496a2
1228baab170800
1311a83569b657
1470c2d7233a0
1538210d11760
hex1dba0a4b780

2042804615040 has 384 divisors, whose sum is σ = 8182118430720. Its totient is φ = 459957104640.

The previous prime is 2042804615039. The next prime is 2042804615063. The reversal of 2042804615040 is 405164082402.

2042804615040 is a `hidden beast` number, since 2 + 0 + 428 + 0 + 46 + 150 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2042804614986 and 2042804615004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2323345 + ... + 3079535.

It is an arithmetic number, because the mean of its divisors is an integer number (21307600080).

Almost surely, 22042804615040 is an apocalyptic number.

2042804615040 is a gapful number since it is divisible by the number (20) 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 2042804615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091059215360).

2042804615040 is an abundant number, since it is smaller than the sum of its proper divisors (6139313815680).

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

2042804615040 is a wasteful number, since it uses less digits than its factorization.

2042804615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756290 (or 756275 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 2042804615040 its reverse (405164082402), we get a palindrome (2447968697442).

The spelling of 2042804615040 in words is "two trillion, forty-two billion, eight hundred four million, six hundred fifteen thousand, forty".