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2040220357920 = 2533510314930773
BaseRepresentation
bin11101101100000110100…
…111000001010100100000
321020001011110112201201000
4131230012213001110200
5231411332402423140
64201133030512000
7300254363622543
oct35540647012440
97201143481630
102040220357920
11717286227008
1228b4a9805600
1311a51317b224
1470a6641c85a
153810dee0a30
hex1db069c1520

2040220357920 has 384 divisors, whose sum is σ = 7258724928000. Its totient is φ = 535143297024.

The previous prime is 2040220357907. The next prime is 2040220357921. The reversal of 2040220357920 is 297530220402.

2040220357920 is a `hidden beast` number, since 2 + 0 + 40 + 2 + 20 + 3 + 579 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2040220357921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66283654 + ... + 66314426.

It is an arithmetic number, because the mean of its divisors is an integer number (18902929500).

Almost surely, 22040220357920 is an apocalyptic number.

2040220357920 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 2040220357920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629362464000).

2040220357920 is an abundant number, since it is smaller than the sum of its proper divisors (5218504570080).

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

2040220357920 is a wasteful number, since it uses less digits than its factorization.

2040220357920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31049 (or 31035 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 2040220357920 in words is "two trillion, forty billion, two hundred twenty million, three hundred fifty-seven thousand, nine hundred twenty".