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2079801007480 = 23572192329313773
BaseRepresentation
bin11110010000111101110…
…011001101110101111000
321100211022220112001112201
4132100331303031311320
5233033413024214410
64231240345315544
7303155256606400
oct36207563156570
97324286461481
102079801007480
117320474a2939
122970b5195bb4
131211803a5621
147293d029800
1539178c9083a
hex1e43dccdd78

2079801007480 has 1536 divisors, whose sum is σ = 6647298048000. Its totient is φ = 579400335360.

The previous prime is 2079801007477. The next prime is 2079801007579. The reversal of 2079801007480 is 847001089702.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 2079801007480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28490424724 + ... + 28490424796.

It is an arithmetic number, because the mean of its divisors is an integer number (4327668000).

Almost surely, 22079801007480 is an apocalyptic number.

2079801007480 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 2079801007480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323649024000).

2079801007480 is an abundant number, since it is smaller than the sum of its proper divisors (4567497040520).

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

2079801007480 is a wasteful number, since it uses less digits than its factorization.

2079801007480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 46.

The spelling of 2079801007480 in words is "two trillion, seventy-nine billion, eight hundred one million, seven thousand, four hundred eighty".