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2070361920 = 263511593323
BaseRepresentation
bin111101101100111…
…0011011101000000
312100021202021122010
41323121303131000
513220003040140
6541235012520
7102206533404
oct17331633500
95307667563
102070361920
11972735610
1249943a140
1326cc11833
14158d73104
15c1b60880
hex7b673740

2070361920 has 224 divisors, whose sum is σ = 7294717440. Its totient is φ = 493250560.

The previous prime is 2070361919. The next prime is 2070361963. The reversal of 2070361920 is 291630702.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 621379 + ... + 624701.

Almost surely, 22070361920 is an apocalyptic number.

2070361920 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 2070361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647358720).

2070361920 is an abundant number, since it is smaller than the sum of its proper divisors (5224355520).

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

2070361920 is a wasteful number, since it uses less digits than its factorization.

2070361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 2070361920 is about 45501.2298734880. The cubic root of 2070361920 is about 1274.5261691829.

The spelling of 2070361920 in words is "two billion, seventy million, three hundred sixty-one thousand, nine hundred twenty".