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2026352640 = 21235134359
BaseRepresentation
bin111100011000111…
…1011000000000000
312020012221101020210
41320301323000000
513122221241030
6533023434120
7101133466434
oct17061730000
95205841223
102026352640
1194a906804
12486755940
13263a73140
141531989c4
15bcd6abb0
hex78c7b000

2026352640 has 416 divisors, whose sum is σ = 7265744640. Its totient is φ = 478937088.

The previous prime is 2026352617. The next prime is 2026352677. The reversal of 2026352640 is 462536202.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×20263526402 = 8212210043269939200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2026352598 and 2026352607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34344931 + ... + 34344989.

Almost surely, 22026352640 is an apocalyptic number.

2026352640 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 2026352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632872320).

2026352640 is an abundant number, since it is smaller than the sum of its proper divisors (5239392000).

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

2026352640 is a wasteful number, since it uses less digits than its factorization.

2026352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2026352640 is about 45015.0268243839. The cubic root of 2026352640 is about 1265.4306292697.

Adding to 2026352640 its reverse (462536202), we get a palindrome (2488888842).

The spelling of 2026352640 in words is "two billion, twenty-six million, three hundred fifty-two thousand, six hundred forty".