Search a number
-
+
2469726570240 = 283251923119157
BaseRepresentation
bin100011111100000111001…
…011001100011100000000
322202002210111020222201100
4203330013023030130000
5310431000000221430
65130324323334400
7343301061321306
oct43740713143400
98662714228640
102469726570240
11872450299446
1233a796521400
1314bb817930a7
148776d210276
154439aec5960
hex23f072cc700

2469726570240 has 648 divisors, whose sum is σ = 9309805884288. Its totient is φ = 603772600320.

The previous prime is 2469726570229. The next prime is 2469726570247. The reversal of 2469726570240 is 420756279642.

It is a happy number.

2469726570240 is a `hidden beast` number, since 2 + 4 + 6 + 9 + 7 + 26 + 570 + 2 + 40 = 666.

It is a super-3 number, since 3×24697265702403 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2469726570247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128910742 + ... + 128929898.

Almost surely, 22469726570240 is an apocalyptic number.

2469726570240 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 2469726570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654902942144).

2469726570240 is an abundant number, since it is smaller than the sum of its proper divisors (6840079314048).

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

2469726570240 is a wasteful number, since it uses less digits than its factorization.

2469726570240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19253 (or 19217 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 2469726570240 in words is "two trillion, four hundred sixty-nine billion, seven hundred twenty-six million, five hundred seventy thousand, two hundred forty".