Search a number
-
+
2498016960 = 263252273821
BaseRepresentation
bin1001010011100100…
…1011011011000000
320110002110102001200
42110321023123000
520103443020320
61051513101200
7115621536165
oct22471133300
96402412050
102498016960
11107207a12a
125986b7800
1330a6b695a
14199a9606c
15e9488290
hex94e4b6c0

2498016960 has 168 divisors, whose sum is σ = 8632246896. Its totient is φ = 663029760.

The previous prime is 2498016923. The next prime is 2498016967. The reversal of 2498016960 is 696108942.

It is a happy number.

It is a super-3 number, since 3×24980169603 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2498016967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 651850 + ... + 655670.

It is an arithmetic number, because the mean of its divisors is an integer number (51382422).

Almost surely, 22498016960 is an apocalyptic number.

2498016960 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 2498016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4316123448).

2498016960 is an abundant number, since it is smaller than the sum of its proper divisors (6134229936).

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

2498016960 is a wasteful number, since it uses less digits than its factorization.

2498016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2498016960 is about 49980.1656659919. The cubic root of 2498016960 is about 1356.8498601255.

The spelling of 2498016960 in words is "two billion, four hundred ninety-eight million, sixteen thousand, nine hundred sixty".