Search a number
-
+
2457030240 = 253357312621
BaseRepresentation
bin1001001001110011…
…0100111001100000
320100020100001212000
42102130310321200
520012444431430
61043450404000
7114613261320
oct22234647140
96306301760
102457030240
111050a25205
12586a30600
13302065c62
14194467280
15e5a8de60
hex92734e60

2457030240 has 384 divisors, whose sum is σ = 10149027840. Its totient is φ = 543283200.

The previous prime is 2457030229. The next prime is 2457030241. The reversal of 2457030240 is 420307542.

2457030240 is a `hidden beast` number, since 24 + 570 + 30 + 2 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2457030241) 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, 936130 + ... + 938750.

It is an arithmetic number, because the mean of its divisors is an integer number (26429760).

Almost surely, 22457030240 is an apocalyptic number.

2457030240 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 2457030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5074513920).

2457030240 is an abundant number, since it is smaller than the sum of its proper divisors (7691997600).

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

2457030240 is a wasteful number, since it uses less digits than its factorization.

2457030240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2457030240 is about 49568.4399593128. The cubic root of 2457030240 is about 1349.3879694878.

Adding to 2457030240 its reverse (420307542), we get a palindrome (2877337782).

The spelling of 2457030240 in words is "two billion, four hundred fifty-seven million, thirty thousand, two hundred forty".