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2420159040 = 263351329743
BaseRepresentation
bin1001000001000000…
…1011001001000000
320020122221211002000
42100100023021000
514424030042130
61040052224000
7113655004155
oct22020131100
96218854060
102420159040
111032131342
1257660b000
132c7526590
1418d5ca22c
15e2709260
hex9040b240

2420159040 has 448 divisors, whose sum is σ = 9524390400. Its totient is φ = 574414848.

The previous prime is 2420159023. The next prime is 2420159047. The reversal of 2420159040 is 409510242.

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

It is a junction number, because it is equal to n+sod(n) for n = 2420158995 and 2420159013.

It is not an unprimeable number, because it can be changed into a prime (2420159047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3256909 + ... + 3257651.

It is an arithmetic number, because the mean of its divisors is an integer number (21259800).

Almost surely, 22420159040 is an apocalyptic number.

2420159040 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 2420159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762195200).

2420159040 is an abundant number, since it is smaller than the sum of its proper divisors (7104231360).

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

2420159040 is a wasteful number, since it uses less digits than its factorization.

2420159040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2420159040 is about 49195.1119523068. Note that the first 3 decimals coincide. The cubic root of 2420159040 is about 1342.6040991654.

Adding to 2420159040 its reverse (409510242), we get a palindrome (2829669282).

The spelling of 2420159040 in words is "two billion, four hundred twenty million, one hundred fifty-nine thousand, forty".