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2541255552 = 273311259103
BaseRepresentation
bin1001011101111000…
…0111101110000000
320120002211011021000
42113132013232000
520201030134202
61100055532000
7116655213213
oct22736075600
96502734230
102541255552
111094521a00
125ab08a000
13316645614
141a170d77a
15ed17991c
hex97787b80

2541255552 has 384 divisors, whose sum is σ = 8465184000. Its totient is φ = 749675520.

The previous prime is 2541255527. The next prime is 2541255559. The reversal of 2541255552 is 2555521452.

2541255552 is a `hidden beast` number, since 2 + 54 + 1 + 2 + 55 + 552 = 666.

2541255552 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 tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541255559) 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, 24672333 + ... + 24672435.

It is an arithmetic number, because the mean of its divisors is an integer number (22044750).

Almost surely, 22541255552 is an apocalyptic number.

2541255552 is a gapful number since it is divisible by the number (22) 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 2541255552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4232592000).

2541255552 is an abundant number, since it is smaller than the sum of its proper divisors (5923928448).

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

2541255552 is a wasteful number, since it uses less digits than its factorization.

2541255552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 178 counting only the distinct ones).

The product of its digits is 100000, while the sum is 36.

The square root of 2541255552 is about 50410.8673997978. The cubic root of 2541255552 is about 1364.6337672228.

The spelling of 2541255552 in words is "two billion, five hundred forty-one million, two hundred fifty-five thousand, five hundred fifty-two".