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2124489024 = 263272331739
BaseRepresentation
bin111111010100001…
…0010000101000000
312111001121020001200
41332220102011000
513322332122044
6550451101200
7103434600360
oct17650220500
95431536050
102124489024
119a0245059
124b35a1800
1327b1b35c8
141622229a0
15c67a3369
hex7ea12140

2124489024 has 336 divisors, whose sum is σ = 7506370560. Its totient is φ = 561116160.

The previous prime is 2124489023. The next prime is 2124489049. The reversal of 2124489024 is 4209844212.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×21244890242 = 9026907226192945152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2124489024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124489023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2874447 + ... + 2875185.

Almost surely, 22124489024 is an apocalyptic number.

2124489024 is a gapful number since it is divisible by the number (24) 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 2124489024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753185280).

2124489024 is an abundant number, since it is smaller than the sum of its proper divisors (5381881536).

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

2124489024 is a wasteful number, since it uses less digits than its factorization.

2124489024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2124489024 is about 46092.1796403685. The cubic root of 2124489024 is about 1285.5377389757.

The spelling of 2124489024 in words is "two billion, one hundred twenty-four million, four hundred eighty-nine thousand, twenty-four".