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2074205952 = 28327132761
BaseRepresentation
bin111101110100001…
…1101111100000000
312100112222120122200
41323220131330000
513221444042302
6541453233200
7102254313450
oct17350357400
95315876580
102074205952
119749206a5
1249a792800
13270959400
14159693d60
15c216e81c
hex7ba1df00

2074205952 has 324 divisors, whose sum is σ = 7410718224. Its totient is φ = 546324480.

The previous prime is 2074205929. The next prime is 2074205953. The reversal of 2074205952 is 2595024702.

It is a happy number.

2074205952 is a `hidden beast` number, since 20 + 7 + 42 + 0 + 595 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2074205953) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2725252 + ... + 2726012.

Almost surely, 22074205952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2074205952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705359112).

2074205952 is an abundant number, since it is smaller than the sum of its proper divisors (5336512272).

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

2074205952 is a wasteful number, since it uses less digits than its factorization.

2074205952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2074205952 is about 45543.4512526225. The cubic root of 2074205952 is about 1275.3144839013.

The spelling of 2074205952 in words is "two billion, seventy-four million, two hundred five thousand, nine hundred fifty-two".