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2669322240 = 21332513557
BaseRepresentation
bin1001111100011010…
…1010000000000000
320220000210121201200
42133012222000000
520431321302430
61120512501200
7123101602404
oct23706520000
96800717650
102669322240
11114a843342
12625b4a800
13337035120
141b4729104
15109525460
hex9f1aa000

2669322240 has 336 divisors, whose sum is σ = 9982751688. Its totient is φ = 655884288.

The previous prime is 2669322221. The next prime is 2669322251. The reversal of 2669322240 is 422239662.

It can be written as a sum of positive squares in 4 ways, for example, as 1028100096 + 1641222144 = 32064^2 + 40512^2 .

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 = 2669322195 and 2669322204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4792042 + ... + 4792598.

Almost surely, 22669322240 is an apocalyptic number.

2669322240 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 2669322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991375844).

2669322240 is an abundant number, since it is smaller than the sum of its proper divisors (7313429448).

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

2669322240 is a wasteful number, since it uses less digits than its factorization.

2669322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2669322240 is about 51665.4840294756. The cubic root of 2669322240 is about 1387.1827139124.

The spelling of 2669322240 in words is "two billion, six hundred sixty-nine million, three hundred twenty-two thousand, two hundred forty".