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2742394295160 = 233351317591491307
BaseRepresentation
bin100111111010000011011…
…100000001001101111000
3100201011121011200120201000
4213322003130001031320
5324412410414421120
65455501043125000
7402063041615532
oct47720334011570
910634534616630
102742394295160
119680520a3953
123835b2373760
1316b7b6b22960
1496a38338852
154b508d67990
hex27e83701378

2742394295160 has 1024 divisors, whose sum is σ = 10679558400000. Its totient is φ = 619907088384.

The previous prime is 2742394295071. The next prime is 2742394295161. The reversal of 2742394295160 is 615924932472.

It is a happy number.

2742394295160 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 394 + 2 + 95 + 160 = 666.

It is a super-2 number, since 2×27423942951602 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2742394295097 and 2742394295106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742394295161) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2098235227 + ... + 2098236533.

It is an arithmetic number, because the mean of its divisors is an integer number (10429256250).

Almost surely, 22742394295160 is an apocalyptic number.

2742394295160 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 2742394295160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5339779200000).

2742394295160 is an abundant number, since it is smaller than the sum of its proper divisors (7937164104840).

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

2742394295160 is a wasteful number, since it uses less digits than its factorization.

2742394295160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2742394295160 in words is "two trillion, seven hundred forty-two billion, three hundred ninety-four million, two hundred ninety-five thousand, one hundred sixty".