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2484463104 = 2935191051
BaseRepresentation
bin1001010000010101…
…1110011000000000
320102010221210200000
42110011132120000
520042010304404
61050310400000
7115365405444
oct22405363000
96363853600
102484463104
1110654619a2
12594060000
1330794c616
14197d68824
15e81ac339
hex9415e600

2484463104 has 240 divisors, whose sum is σ = 7834706880. Its totient is φ = 783820800.

The previous prime is 2484463097. The next prime is 2484463109. The reversal of 2484463104 is 4013644842.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2484463109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2363379 + ... + 2364429.

It is an arithmetic number, because the mean of its divisors is an integer number (32644612).

Almost surely, 22484463104 is an apocalyptic number.

2484463104 is a gapful number since it is divisible by the number (24) 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 2484463104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917353440).

2484463104 is an abundant number, since it is smaller than the sum of its proper divisors (5350243776).

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

2484463104 is an equidigital number, since it uses as much as digits as its factorization.

2484463104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2484463104 is about 49844.3888918301. The cubic root of 2484463104 is about 1354.3913887371.

The spelling of 2484463104 in words is "two billion, four hundred eighty-four million, four hundred sixty-three thousand, one hundred four".