Search a number
-
+
2042424720 = 2436575003
BaseRepresentation
bin111100110111100…
…1110110110010000
312021100011221000000
41321233032312100
513140330042340
6534400130000
7101420216010
oct17157166620
95240157000
102042424720
11958993a16
12490006900
132671ac74b
1415537dc40
15be492d30
hex79bced90

2042424720 has 280 divisors, whose sum is σ = 8138425536. Its totient is φ = 466746624.

The previous prime is 2042424697. The next prime is 2042424737. The reversal of 2042424720 is 274242402.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 405739 + ... + 410741.

Almost surely, 22042424720 is an apocalyptic number.

2042424720 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 2042424720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069212768).

2042424720 is an abundant number, since it is smaller than the sum of its proper divisors (6096000816).

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

2042424720 is an equidigital number, since it uses as much as digits as its factorization.

2042424720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5041 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 2042424720 is about 45193.1932927958. The cubic root of 2042424720 is about 1268.7674238024.

The spelling of 2042424720 in words is "two billion, forty-two million, four hundred twenty-four thousand, seven hundred twenty".