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2097608423040 = 27325133315347
BaseRepresentation
bin11110100001100011001…
…101000111011010000000
321102112021221022111101100
4132201203031013122000
5233331400224014130
64243343352134400
7304355456261004
oct36414315073200
97375257274340
102097608423040
117396552a77a9
1229a644997400
13122a5a747000
147374c044704
153986c2a6c60
hex1e863347680

2097608423040 has 768 divisors, whose sum is σ = 8101270195200. Its totient is φ = 499584983040.

The previous prime is 2097608423033. The next prime is 2097608423041. The reversal of 2097608423040 is 403248067902.

2097608423040 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 608 + 4 + 2 + 30 + 4 + 0 = 666.

It is a super-2 number, since 2×20976084230402 (a number of 25 digits) contains 22 as substring.

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 (2097608423041) 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, 392293647 + ... + 392298993.

It is an arithmetic number, because the mean of its divisors is an integer number (10548528900).

Almost surely, 22097608423040 is an apocalyptic number.

2097608423040 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 2097608423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050635097600).

2097608423040 is an abundant number, since it is smaller than the sum of its proper divisors (6003661772160).

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

2097608423040 is a wasteful number, since it uses less digits than its factorization.

2097608423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5442 (or 5401 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2097608423040 in words is "two trillion, ninety-seven billion, six hundred eight million, four hundred twenty-three thousand, forty".