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2493490680 = 23325371311429
BaseRepresentation
bin1001010010011111…
…1010010111111000
320102202221110011200
42110213322113320
520101313200210
61051232054200
7115535215062
oct22447722770
96382843150
102493490680
11106a5684aa
12597094360
13309790695
14199238732
15e8d920c0
hex949fa5f8

2493490680 has 192 divisors, whose sum is σ = 8392269600. Its totient is φ = 641571840.

The previous prime is 2493490603. The next prime is 2493490709. The reversal of 2493490680 is 860943942.

2493490680 is a `hidden beast` number, since 249 + 349 + 0 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1744206 + ... + 1745634.

Almost surely, 22493490680 is an apocalyptic number.

2493490680 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 2493490680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196134800).

2493490680 is an abundant number, since it is smaller than the sum of its proper divisors (5898778920).

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

2493490680 is a wasteful number, since it uses less digits than its factorization.

2493490680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2493490680 is about 49934.8643735016. The cubic root of 2493490680 is about 1356.0298502840.

The spelling of 2493490680 in words is "two billion, four hundred ninety-three million, four hundred ninety thousand, six hundred eighty".