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2074937040 = 2433511217467
BaseRepresentation
bin111101110101101…
…0000011011010000
312100121100201112000
41323223100123100
513222140441130
6541521034000
7102263450061
oct17353203320
95317321460
102074937040
1197527aa00
1249aa85900
13270b540c7
14159804568
15c2266260
hex7bad06d0

2074937040 has 480 divisors, whose sum is σ = 8335716480. Its totient is φ = 472412160.

The previous prime is 2074937027. The next prime is 2074937087. The reversal of 2074937040 is 407394702.

2074937040 is a `hidden beast` number, since 207 + 49 + 370 + 40 = 666.

2074937040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 2074936986 and 2074937004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4442887 + ... + 4443353.

It is an arithmetic number, because the mean of its divisors is an integer number (17366076).

Almost surely, 22074937040 is an apocalyptic number.

2074937040 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 2074937040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167858240).

2074937040 is an abundant number, since it is smaller than the sum of its proper divisors (6260779440).

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

2074937040 is a wasteful number, since it uses less digits than its factorization.

2074937040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2074937040 is about 45551.4768146983. The cubic root of 2074937040 is about 1275.4643014886.

The spelling of 2074937040 in words is "two billion, seventy-four million, nine hundred thirty-seven thousand, forty".