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2474634240 = 2103751317
BaseRepresentation
bin1001001101111111…
…1110110000000000
320101110110110000000
42103133332300000
520032001243430
61045320000000
7115216021041
oct22337766000
96343413000
102474634240
11105a959371
12590900000
133058ba920
1419692a8c8
15e73b9e60
hex937fec00

2474634240 has 704 divisors, whose sum is σ = 10151809920. Its totient is φ = 573308928.

The previous prime is 2474634209. The next prime is 2474634247. The reversal of 2474634240 is 424364742.

2474634240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24746342402 = 12247629243560755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2474634195 and 2474634204.

It is not an unprimeable number, because it can be changed into a prime (2474634247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145566712 + ... + 145566728.

Almost surely, 22474634240 is an apocalyptic number.

2474634240 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 2474634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075904960).

2474634240 is an abundant number, since it is smaller than the sum of its proper divisors (7677175680).

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

2474634240 is an equidigital number, since it uses as much as digits as its factorization.

2474634240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The square root of 2474634240 is about 49745.6956931954. The cubic root of 2474634240 is about 1352.6029778899.

Adding to 2474634240 its reverse (424364742), we get a palindrome (2898998982).

The spelling of 2474634240 in words is "two billion, four hundred seventy-four million, six hundred thirty-four thousand, two hundred forty".