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2469438972 = 2232711131729139
BaseRepresentation
bin1001001100110000…
…1010010111111100
320101002200111102200
42103030022113330
520024134021342
61045012351500
7115123612350
oct22314122774
96332614380
102469438972
111057a30060
1258b015590
133047bbcc0
14195d77460
15e6be094c
hex9330a5fc

2469438972 has 576 divisors, whose sum is σ = 9246182400. Its totient is φ = 534159360.

The previous prime is 2469438967. The next prime is 2469438977. The reversal of 2469438972 is 2798349642.

2469438972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2469438967) and next prime (2469438977).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2469438977) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17765679 + ... + 17765817.

It is an arithmetic number, because the mean of its divisors is an integer number (16052400).

Almost surely, 22469438972 is an apocalyptic number.

2469438972 is a gapful number since it is divisible by the number (22) 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 2469438972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623091200).

2469438972 is an abundant number, since it is smaller than the sum of its proper divisors (6776743428).

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

2469438972 is a wasteful number, since it uses less digits than its factorization.

2469438972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 221 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 2469438972 is about 49693.4499909193. The cubic root of 2469438972 is about 1351.6557593466.

The spelling of 2469438972 in words is "two billion, four hundred sixty-nine million, four hundred thirty-eight thousand, nine hundred seventy-two".