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2442069000 = 23345375973
BaseRepresentation
bin1001000110001111…
…0000010000001000
320022012011221220000
42101203300100020
520000132202000
61042154003000
7114342146460
oct22143602010
96265157800
102442069000
111043536648
12581a16460
132cbc28157
14192490ba0
15e45d6000
hex918f0408

2442069000 has 640 divisors, whose sum is σ = 10057132800. Its totient is φ = 541209600.

The previous prime is 2442068983. The next prime is 2442069017. The reversal of 2442069000 is 9602442.

It is an interprime number because it is at equal distance from previous prime (2442068983) and next prime (2442069017).

It is a super-2 number, since 2×24420690002 = 11927402001522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 33452964 + ... + 33453036.

It is an arithmetic number, because the mean of its divisors is an integer number (15714270).

Almost surely, 22442069000 is an apocalyptic number.

2442069000 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 2442069000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028566400).

2442069000 is an abundant number, since it is smaller than the sum of its proper divisors (7615063800).

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

2442069000 is a wasteful number, since it uses less digits than its factorization.

2442069000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2442069000 is about 49417.2945435098. The cubic root of 2442069000 is about 1346.6435135820.

The spelling of 2442069000 in words is "two billion, four hundred forty-two million, sixty-nine thousand".