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2492047680 = 263517374127
BaseRepresentation
bin1001010010001001…
…1010000101000000
320102200020010202020
42110202122011000
520100431011210
61051141121440
7115520025063
oct22442320500
96380203666
102492047680
111069772341
125966b9280
133093a6935
14198d808da
15e8ba9770
hex9489a140

2492047680 has 224 divisors, whose sum is σ = 8606186496. Its totient is φ = 608403456.

The previous prime is 2492047669. The next prime is 2492047681. The reversal of 2492047680 is 867402942.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2492047681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601777 + ... + 605903.

Almost surely, 22492047680 is an apocalyptic number.

2492047680 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 2492047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303093248).

2492047680 is an abundant number, since it is smaller than the sum of its proper divisors (6114138816).

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

2492047680 is a wasteful number, since it uses less digits than its factorization.

2492047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2492047680 is about 49920.4134598262. The cubic root of 2492047680 is about 1355.7682185786.

The spelling of 2492047680 in words is "two billion, four hundred ninety-two million, forty-seven thousand, six hundred eighty".