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2332970640 = 2433571113283
BaseRepresentation
bin1000101100001110…
…0100111010010000
320000120220012002000
42023003210322100
514234220030030
61023255354000
7111545631450
oct21303447220
96016805060
102332970640
11a979a0410
12551382900
132b244a300
14181bb1d60
15d9c35860
hex8b0e4e90

2332970640 has 960 divisors, whose sum is σ = 10979297280. Its totient is φ = 442091520.

The previous prime is 2332970609. The next prime is 2332970641. The reversal of 2332970640 is 460792332.

It is a happy number.

2332970640 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 9 + 7 + 0 + 640 = 666.

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 = 2332970595 and 2332970604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2332970641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28108039 + ... + 28108121.

It is an arithmetic number, because the mean of its divisors is an integer number (11436768).

Almost surely, 22332970640 is an apocalyptic number.

2332970640 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 2332970640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489648640).

2332970640 is an abundant number, since it is smaller than the sum of its proper divisors (8646326640).

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

2332970640 is a wasteful number, since it uses less digits than its factorization.

2332970640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 2332970640 is about 48300.8347753949. The cubic root of 2332970640 is about 1326.2836763319.

The spelling of 2332970640 in words is "two billion, three hundred thirty-two million, nine hundred seventy thousand, six hundred forty".