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2541254045120 = 26573773941491
BaseRepresentation
bin100100111110101110100…
…010110110110111000000
322222221102100211012012122
4210332232202312313000
5313113442013420440
65223234101343412
7351412433656430
oct44765642666700
98887370735178
102541254045120
1189a815726a4a
12350618a07b68
131558404cc51b
148add6a3c2c0
154618575b7b5
hex24fae8b6dc0

2541254045120 has 224 divisors, whose sum is σ = 7112538723840. Its totient is φ = 846571253760.

The previous prime is 2541254045111. The next prime is 2541254045129. The reversal of 2541254045120 is 215404521452.

It is an interprime number because it is at equal distance from previous prime (2541254045111) and next prime (2541254045129).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×25412540451203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541254045129) 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, 61227575 + ... + 61269065.

Almost surely, 22541254045120 is an apocalyptic number.

2541254045120 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 2541254045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556269361920).

2541254045120 is an abundant number, since it is smaller than the sum of its proper divisors (4571284678720).

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

2541254045120 is a wasteful number, since it uses less digits than its factorization.

2541254045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42291 (or 42281 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

Adding to 2541254045120 its reverse (215404521452), we get a palindrome (2756658566572).

The spelling of 2541254045120 in words is "two trillion, five hundred forty-one billion, two hundred fifty-four million, forty-five thousand, one hundred twenty".