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2041154640 = 243457172647
BaseRepresentation
bin111100110101001…
…1000110001010000
312021020210101210000
41321222120301100
513140013422030
6534313010000
7101403346110
oct17152306120
95236711700
102041154640
119581a6768
1248b6b3900
13266b56615
1415512d040
15be2e1860
hex79a98c50

2041154640 has 400 divisors, whose sum is σ = 8581807872. Its totient is φ = 438939648.

The previous prime is 2041154597. The next prime is 2041154641. The reversal of 2041154640 is 464511402.

2041154640 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 15 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041154641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 769797 + ... + 772443.

Almost surely, 22041154640 is an apocalyptic number.

2041154640 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 2041154640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290903936).

2041154640 is an abundant number, since it is smaller than the sum of its proper divisors (6540653232).

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

2041154640 is a wasteful number, since it uses less digits than its factorization.

2041154640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2041154640 is about 45179.1394340353. The cubic root of 2041154640 is about 1268.5043753038.

The spelling of 2041154640 in words is "two billion, forty-one million, one hundred fifty-four thousand, six hundred forty".