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2632501540240 = 2451113412367373
BaseRepresentation
bin100110010011101101010…
…100011011010110010000
3100022122221120002012220221
4212103231110123112100
5321112330343241430
65333204324042424
7361122561614125
oct46235524332620
910278846065827
102632501540240
1192548a543640
12366243533414
131613229051a0
14915b14b074c
15487263a657a
hex264ed51b590

2632501540240 has 480 divisors, whose sum is σ = 7410148720128. Its totient is φ = 857430835200.

The previous prime is 2632501540181. The next prime is 2632501540297. The reversal of 2632501540240 is 420451052362.

It is a junction number, because it is equal to n+sod(n) for n = 2632501540196 and 2632501540205.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7057644694 + ... + 7057645066.

Almost surely, 22632501540240 is an apocalyptic number.

2632501540240 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 2632501540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705074360064).

2632501540240 is an abundant number, since it is smaller than the sum of its proper divisors (4777647179888).

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

2632501540240 is a wasteful number, since it uses less digits than its factorization.

2632501540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 2632501540240 in words is "two trillion, six hundred thirty-two billion, five hundred one million, five hundred forty thousand, two hundred forty".