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2494544640 = 283571753103
BaseRepresentation
bin1001010010101111…
…1011101100000000
320102211220222221020
42110223323230000
520102100412030
61051310425440
7115550164620
oct22453735400
96384828836
102494544640
111070118345
12597502280
13309a6c323
14199430880
15e8eee510
hex94afbb00

2494544640 has 576 divisors, whose sum is σ = 9917945856. Its totient is φ = 521404416.

The previous prime is 2494544629. The next prime is 2494544659. The reversal of 2494544640 is 464454942.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2494544592 and 2494544601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24218829 + ... + 24218931.

It is an arithmetic number, because the mean of its divisors is an integer number (17218656).

Almost surely, 22494544640 is an apocalyptic number.

2494544640 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 2494544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958972928).

2494544640 is an abundant number, since it is smaller than the sum of its proper divisors (7423401216).

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

2494544640 is a wasteful number, since it uses less digits than its factorization.

2494544640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The square root of 2494544640 is about 49945.4166065316. The cubic root of 2494544640 is about 1356.2208809961.

The spelling of 2494544640 in words is "two billion, four hundred ninety-four million, five hundred forty-four thousand, six hundred forty".