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2050253040 = 2435112174153
BaseRepresentation
bin111101000110100…
…0110000011110000
312021212220122102210
41322031012003300
513144331044130
6535240012120
7101543602053
oct17215060360
95255818383
102050253040
11962350500
12492761040
132689c09a4
1415641aa9a
15beedc5b0
hex7a3460f0

2050253040 has 240 divisors, whose sum is σ = 7398838944. Its totient is φ = 467681280.

The previous prime is 2050253033. The next prime is 2050253047. The reversal of 2050253040 is 403520502.

It is an interprime number because it is at equal distance from previous prime (2050253033) and next prime (2050253047).

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 2050252998 and 2050253016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050253047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491604 + ... + 495756.

Almost surely, 22050253040 is an apocalyptic number.

2050253040 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 2050253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699419472).

2050253040 is an abundant number, since it is smaller than the sum of its proper divisors (5348585904).

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

2050253040 is a wasteful number, since it uses less digits than its factorization.

2050253040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4208 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 2050253040 is about 45279.7199637984. The cubic root of 2050253040 is about 1270.3863581569.

Adding to 2050253040 its reverse (403520502), we get a palindrome (2453773542).

The spelling of 2050253040 in words is "two billion, fifty million, two hundred fifty-three thousand, forty".