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2432626140 = 223572927197
BaseRepresentation
bin1001000011111110…
…1110110111011100
320021112102012201110
42100333232313130
514440223014030
61041215342020
7114165660330
oct22077566734
96245365643
102432626140
11103917702a
1257a821910
132c9ca0069
141911137c0
15e386d1b0
hex90feeddc

2432626140 has 288 divisors, whose sum is σ = 8259922944. Its totient is φ = 523837440.

The previous prime is 2432626121. The next prime is 2432626193. The reversal of 2432626140 is 416262342.

It is a super-2 number, since 2×24326261402 = 11835339874022599200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2432626098 and 2432626107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25078572 + ... + 25078668.

It is an arithmetic number, because the mean of its divisors is an integer number (28680288).

Almost surely, 22432626140 is an apocalyptic number.

2432626140 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 2432626140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129961472).

2432626140 is an abundant number, since it is smaller than the sum of its proper divisors (5827296804).

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

2432626140 is a wasteful number, since it uses less digits than its factorization.

2432626140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2432626140 is about 49321.6599477349. The cubic root of 2432626140 is about 1344.9055622070.

Adding to 2432626140 its reverse (416262342), we get a palindrome (2848888482).

The spelling of 2432626140 in words is "two billion, four hundred thirty-two million, six hundred twenty-six thousand, one hundred forty".