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2488045140 = 2233572922697
BaseRepresentation
bin1001010001001100…
…1000111001010100
320102101200210022000
42110103020321110
520043414421030
61050515235300
7115441014630
oct22423107124
96371623260
102488045140
111067489159
125952a8b30
13308604b79
1419861bdc0
15e8668860
hex944c8e54

2488045140 has 192 divisors, whose sum is σ = 9151833600. Its totient is φ = 549061632.

The previous prime is 2488045139. The next prime is 2488045159. The reversal of 2488045140 is 415408842.

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 = 2488045095 and 2488045104.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 98272 + ... + 120968.

It is an arithmetic number, because the mean of its divisors is an integer number (47665800).

Almost surely, 22488045140 is an apocalyptic number.

2488045140 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 2488045140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575916800).

2488045140 is an abundant number, since it is smaller than the sum of its proper divisors (6663788460).

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

2488045140 is a wasteful number, since it uses less digits than its factorization.

2488045140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22751 (or 22743 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2488045140 is about 49880.3081385831. The cubic root of 2488045140 is about 1355.0419852370.

The spelling of 2488045140 in words is "two billion, four hundred eighty-eight million, forty-five thousand, one hundred forty".