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2041418802720 = 2535111933760383
BaseRepresentation
bin11101101101001110000…
…010101110011000100000
321020011020222122000220110
4131231032002232120200
5231421311203141340
64201452001411320
7300326155342653
oct35551602563040
97204228560813
102041418802720
11717840770360
1228b783039b40
1311a67454986b
1470b3b66589a
153817e320680
hex1db4e0ae620

2041418802720 has 384 divisors, whose sum is σ = 7406305320960. Its totient is φ = 467443630080.

The previous prime is 2041418802679. The next prime is 2041418802803. The reversal of 2041418802720 is 272088141402.

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 63 ways as a sum of consecutive naturals, for example, 33777649 + ... + 33838031.

It is an arithmetic number, because the mean of its divisors is an integer number (19287253440).

Almost surely, 22041418802720 is an apocalyptic number.

2041418802720 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 2041418802720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703152660480).

2041418802720 is an abundant number, since it is smaller than the sum of its proper divisors (5364886518240).

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

2041418802720 is a wasteful number, since it uses less digits than its factorization.

2041418802720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60768 (or 60760 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The spelling of 2041418802720 in words is "two trillion, forty-one billion, four hundred eighteen million, eight hundred two thousand, seven hundred twenty".