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2545333120 = 2751131107109
BaseRepresentation
bin1001011110110110…
…1011001110000000
320120101111022122001
42113231223032000
520203101124440
61100323153344
7120034655161
oct22755531600
96511438561
102545333120
1110968574a0
125b0515854
13317442595
141a2091768
15ed6d2b9a
hex97b6b380

2545333120 has 256 divisors, whose sum is σ = 6979737600. Its totient is φ = 879206400.

The previous prime is 2545333117. The next prime is 2545333127. The reversal of 2545333120 is 213335452.

2545333120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2545333127) 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, 23351626 + ... + 23351734.

It is an arithmetic number, because the mean of its divisors is an integer number (27264600).

Almost surely, 22545333120 is an apocalyptic number.

2545333120 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 2545333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489868800).

2545333120 is an abundant number, since it is smaller than the sum of its proper divisors (4434404480).

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

2545333120 is a wasteful number, since it uses less digits than its factorization.

2545333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 2545333120 is about 50451.2945324498. The cubic root of 2545333120 is about 1365.3632509246.

Adding to 2545333120 its reverse (213335452), we get a palindrome (2758668572).

The spelling of 2545333120 in words is "two billion, five hundred forty-five million, three hundred thirty-three thousand, one hundred twenty".