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2082488140480 = 265117183100393
BaseRepresentation
bin11110010011011101111…
…101110100001011000000
321101002021011211120001011
4132103131331310023000
5233104413430443410
64232403140050304
7303311666062366
oct36233575641300
97332234746034
102082488140480
117331a62a0710
12297725093994
131214bb005557
1472b15c6d636
1539284b3318a
hex1e4ddf742c0

2082488140480 has 224 divisors, whose sum is σ = 5552080547328. Its totient is φ = 737600102400.

The previous prime is 2082488140427. The next prime is 2082488140507. The reversal of 2082488140480 is 840418842802.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20693164 + ... + 20793556.

It is an arithmetic number, because the mean of its divisors is an integer number (24786073872).

Almost surely, 22082488140480 is an apocalyptic number.

2082488140480 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 2082488140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776040273664).

2082488140480 is an abundant number, since it is smaller than the sum of its proper divisors (3469592406848).

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

2082488140480 is a wasteful number, since it uses less digits than its factorization.

2082488140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100575 (or 100565 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 49.

The spelling of 2082488140480 in words is "two trillion, eighty-two billion, four hundred eighty-eight million, one hundred forty thousand, four hundred eighty".