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2492668080 = 243457179307
BaseRepresentation
bin1001010010010011…
…0001100010110000
320102201101122210000
42110210301202300
520101110334310
61051202310000
7115525220610
oct22444614260
96381348700
102492668080
11106a056471
12596958300
13309563136
141990a2a40
15e8c7d4c0
hex949318b0

2492668080 has 400 divisors, whose sum is σ = 9981861120. Its totient is φ = 564724224.

The previous prime is 2492667971. The next prime is 2492668081. The reversal of 2492668080 is 808662942.

2492668080 is a `hidden beast` number, since 2 + 492 + 6 + 6 + 80 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2492668081) 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, 8119287 + ... + 8119593.

Almost surely, 22492668080 is an apocalyptic number.

2492668080 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 2492668080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990930560).

2492668080 is an abundant number, since it is smaller than the sum of its proper divisors (7489193040).

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

2492668080 is a wasteful number, since it uses less digits than its factorization.

2492668080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2492668080 is about 49926.6269639758. The cubic root of 2492668080 is about 1355.8807162674.

The spelling of 2492668080 in words is "two billion, four hundred ninety-two million, six hundred sixty-eight thousand, eighty".