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2499240240 = 2432571926099
BaseRepresentation
bin1001010011110111…
…0110000100110000
320110011202120002100
42110331312010300
520104301141430
61051555220400
7115635122460
oct22475660460
96404676070
102499240240
111072835202
12598ba7700
1330aa246a3
14199cd3ba0
15e962a960
hex94f76130

2499240240 has 240 divisors, whose sum is σ = 10097568000. Its totient is φ = 541168128.

The previous prime is 2499240223. The next prime is 2499240251. The reversal of 2499240240 is 420429942.

2499240240 is a `hidden beast` number, since 249 + 9 + 2 + 402 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2499240195 and 2499240204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82711 + ... + 108809.

It is an arithmetic number, because the mean of its divisors is an integer number (42073200).

Almost surely, 22499240240 is an apocalyptic number.

2499240240 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 2499240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048784000).

2499240240 is an abundant number, since it is smaller than the sum of its proper divisors (7598327760).

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

2499240240 is a wasteful number, since it uses less digits than its factorization.

2499240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26144 (or 26135 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2499240240 is about 49992.4018226770. The cubic root of 2499240240 is about 1357.0713073056.

The spelling of 2499240240 in words is "two billion, four hundred ninety-nine million, two hundred forty thousand, two hundred forty".