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2664525024 = 253371273469
BaseRepresentation
bin1001111011010001…
…0110110011100000
320212200202220012000
42132310112303200
520424104300044
61120222004000
7123013042350
oct23664266340
96780686160
102664525024
1111480670a7
12624416600
13336045735
141b3c3ab60
15108dc8d69
hex9ed16ce0

2664525024 has 192 divisors, whose sum is σ = 8954265600. Its totient is φ = 755080704.

The previous prime is 2664525023. The next prime is 2664525037. The reversal of 2664525024 is 4205254662.

2664525024 is a `hidden beast` number, since 2 + 6 + 645 + 2 + 5 + 0 + 2 + 4 = 666.

2664525024 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 2664525024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664525023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 766362 + ... + 769830.

It is an arithmetic number, because the mean of its divisors is an integer number (46636800).

Almost surely, 22664525024 is an apocalyptic number.

2664525024 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 2664525024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477132800).

2664525024 is an abundant number, since it is smaller than the sum of its proper divisors (6289740576).

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

2664525024 is a wasteful number, since it uses less digits than its factorization.

2664525024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2664525024 is about 51619.0374183789. The cubic root of 2664525024 is about 1386.3512162537.

Adding to 2664525024 its reverse (4205254662), we get a palindrome (6869779686).

The spelling of 2664525024 in words is "two billion, six hundred sixty-four million, five hundred twenty-five thousand, twenty-four".