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2758134240 = 253451923487
BaseRepresentation
bin1010010001100101…
…1100100111100000
321010012220201220000
42210121130213200
521122040243430
61133404220000
7125230516461
oct24431344740
97105821800
102758134240
111195993094
1264b83a600
1334c55c3c4
141c2446d68
15112219e60
hexa465c9e0

2758134240 has 480 divisors, whose sum is σ = 10713669120. Its totient is φ = 665127936.

The previous prime is 2758134227. The next prime is 2758134241. The reversal of 2758134240 is 424318572.

It is a happy number.

2758134240 is a `hidden beast` number, since 2 + 7 + 581 + 34 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 2758134195 and 2758134204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2758134241) 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, 5663277 + ... + 5663763.

It is an arithmetic number, because the mean of its divisors is an integer number (22320144).

Almost surely, 22758134240 is an apocalyptic number.

2758134240 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 2758134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356834560).

2758134240 is an abundant number, since it is smaller than the sum of its proper divisors (7955534880).

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

2758134240 is a wasteful number, since it uses less digits than its factorization.

2758134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2758134240 is about 52517.9420769702. The cubic root of 2758134240 is about 1402.3996668194.

The spelling of 2758134240 in words is "two billion, seven hundred fifty-eight million, one hundred thirty-four thousand, two hundred forty".