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2442323040 = 253547731483
BaseRepresentation
bin1001000110010010…
…1110010001100000
320022012122212100220
42101210232101200
520000213314130
61042203243040
7114344255223
oct22144562140
96265585326
102442323040
11104369a4a3
12581b19480
132cbcb6981
141925195ba
15e4636410
hex9192e460

2442323040 has 192 divisors, whose sum is σ = 7970006016. Its totient is φ = 628273152.

The previous prime is 2442323033. The next prime is 2442323041. The reversal of 2442323040 is 403232442.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2442323040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442323041) 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, 1646139 + ... + 1647621.

It is an arithmetic number, because the mean of its divisors is an integer number (41510448).

Almost surely, 22442323040 is an apocalyptic number.

2442323040 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 2442323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985003008).

2442323040 is an abundant number, since it is smaller than the sum of its proper divisors (5527682976).

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

2442323040 is a wasteful number, since it uses less digits than its factorization.

2442323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2442323040 is about 49419.8648318670. The cubic root of 2442323040 is about 1346.6902075202.

Adding to 2442323040 its reverse (403232442), we get a palindrome (2845555482).

The spelling of 2442323040 in words is "two billion, four hundred forty-two million, three hundred twenty-three thousand, forty".