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2532090240 = 27335232277
BaseRepresentation
bin1001011011101100…
…1010000110000000
320112110120111211000
42112323022012000
520141203341430
61055131252000
7116514261201
oct22673120600
96473514730
102532090240
11108a331969
125a7baa000
13314786964
141a04055a8
15ec468e60
hex96eca180

2532090240 has 384 divisors, whose sum is σ = 9408520800. Its totient is φ = 643534848.

The previous prime is 2532090221. The next prime is 2532090241. The reversal of 2532090240 is 420902352.

2532090240 is a `hidden beast` number, since 2 + 532 + 0 + 90 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×25320902402 = 12822961967006515200, which contains 22 as substring.

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 (2532090241) 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 47 ways as a sum of consecutive naturals, for example, 9140982 + ... + 9141258.

Almost surely, 22532090240 is an apocalyptic number.

2532090240 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 2532090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704260400).

2532090240 is an abundant number, since it is smaller than the sum of its proper divisors (6876430560).

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

2532090240 is a wasteful number, since it uses less digits than its factorization.

2532090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2532090240 is about 50319.8791731459. The cubic root of 2532090240 is about 1362.9912247226.

Adding to 2532090240 its reverse (420902352), we get a palindrome (2952992592).

The spelling of 2532090240 in words is "two billion, five hundred thirty-two million, ninety thousand, two hundred forty".