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2402420020 = 2257311133179
BaseRepresentation
bin1000111100110010…
…0000010100110100
320012102120120201021
42033030200110310
514410004420040
61034220110524
7113351143000
oct21714402464
96172516637
102402420020
1110231157a0
12570695444
132c3955310
1418b0cd700
15e0da324a
hex8f320534

2402420020 has 384 divisors, whose sum is σ = 7225344000. Its totient is φ = 660441600.

The previous prime is 2402420003. The next prime is 2402420029. The reversal of 2402420020 is 200242042.

It is a junction number, because it is equal to n+sod(n) for n = 2402419976 and 2402420003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2402420029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30410341 + ... + 30410419.

It is an arithmetic number, because the mean of its divisors is an integer number (18816000).

Almost surely, 22402420020 is an apocalyptic number.

2402420020 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 2402420020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612672000).

2402420020 is an abundant number, since it is smaller than the sum of its proper divisors (4822923980).

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

2402420020 is a wasteful number, since it uses less digits than its factorization.

2402420020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2402420020 is about 49014.4878581833. The cubic root of 2402420020 is about 1339.3157604183.

Adding to 2402420020 its reverse (200242042), we get a palindrome (2602662062).

It can be divided in two parts, 24024 and 20020, that added together give a palindrome (44044).

The spelling of 2402420020 in words is "two billion, four hundred two million, four hundred twenty thousand, twenty".