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2494356480 = 2103257111937
BaseRepresentation
bin1001010010101100…
…1101110000000000
320102211120102211100
42110223031300000
520102023401410
61051302414400
7115545452220
oct22453156000
96384512740
102494356480
11106aaa9a40
12597431400
13309a047a5
141993c2080
15e8eb38c0
hex94acdc00

2494356480 has 1056 divisors, whose sum is σ = 11649231360. Its totient is φ = 477757440.

The previous prime is 2494356479. The next prime is 2494356481. The reversal of 2494356480 is 846534942.

2494356480 is a `hidden beast` number, since 2 + 4 + 9 + 4 + 3 + 564 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2494356479) and next prime (2494356481).

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2494356481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67415022 + ... + 67415058.

Almost surely, 22494356480 is an apocalyptic number.

2494356480 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 2494356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5824615680).

2494356480 is an abundant number, since it is smaller than the sum of its proper divisors (9154874880).

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

2494356480 is a wasteful number, since it uses less digits than its factorization.

2494356480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2494356480 is about 49943.5329146828. The cubic root of 2494356480 is about 1356.1867808598.

The spelling of 2494356480 in words is "two billion, four hundred ninety-four million, three hundred fifty-six thousand, four hundred eighty".