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2469874680 = 233457138377
BaseRepresentation
bin1001001100110111…
…0100101111111000
320101010111122010000
42103031310233320
520024241442210
61045025553000
7115130405550
oct22315645770
96333448100
102469874680
1110581a8449
1258b1a5760
13304912410
1419604c160
15e6c79ac0
hex93374bf8

2469874680 has 320 divisors, whose sum is σ = 10218479040. Its totient is φ = 521054208.

The previous prime is 2469874679. The next prime is 2469874681. The reversal of 2469874680 is 864789642.

It is an interprime number because it is at equal distance from previous prime (2469874679) and next prime (2469874681).

It is a super-2 number, since 2×24698746802 = 12200561869810204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2469874681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 290652 + ... + 299028.

It is an arithmetic number, because the mean of its divisors is an integer number (31932747).

Almost surely, 22469874680 is an apocalyptic number.

2469874680 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 2469874680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109239520).

2469874680 is an abundant number, since it is smaller than the sum of its proper divisors (7748604360).

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

2469874680 is a wasteful number, since it uses less digits than its factorization.

2469874680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8420 (or 8407 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 2469874680 is about 49697.8337556075. The cubic root of 2469874680 is about 1351.7352500867.

The spelling of 2469874680 in words is "two billion, four hundred sixty-nine million, eight hundred seventy-four thousand, six hundred eighty".