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2541412340 = 225377148371
BaseRepresentation
bin1001011101111010…
…1101111111110100
320120010010010022222
42113132231333310
520201100143330
61100103141512
7116656435265
oct22736557764
96503103288
102541412340
111094619785
125ab144898
1331669baac
141a175096c
15ed1ab0e5
hex977adff4

2541412340 has 48 divisors (see below), whose sum is σ = 5558523264. Its totient is φ = 975139200.

The previous prime is 2541412327. The next prime is 2541412343. The reversal of 2541412340 is 432141452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541412343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28355 + ... + 76725.

It is an arithmetic number, because the mean of its divisors is an integer number (115802568).

Almost surely, 22541412340 is an apocalyptic number.

2541412340 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 2541412340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779261632).

2541412340 is an abundant number, since it is smaller than the sum of its proper divisors (3017110924).

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

2541412340 is a wasteful number, since it uses less digits than its factorization.

2541412340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48488 (or 48486 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2541412340 is about 50412.4224770046. The cubic root of 2541412340 is about 1364.6618312768.

Adding to 2541412340 its reverse (432141452), we get a palindrome (2973553792).

The spelling of 2541412340 in words is "two billion, five hundred forty-one million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 71 74 142 148 185 284 355 370 710 740 1420 2627 5254 10508 13135 26270 48371 52540 96742 193484 241855 483710 967420 1789727 3434341 3579454 6868682 7158908 8948635 13737364 17171705 17897270 34343410 35794540 68686820 127070617 254141234 508282468 635353085 1270706170 2541412340