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2122479130680 = 2332547891638647
BaseRepresentation
bin11110111000101101100…
…111010101100000111000
321111220111012221100102100
4132320231213111200320
5234233314124140210
64303015313503400
7306226003636506
oct36705547254070
97456435840370
102122479130680
11749158155537
122a3425b71b60
131251c2251b6c
1474a2b173676
153a32593a5c0
hex1ee2d9d5838

2122479130680 has 384 divisors, whose sum is σ = 7168513996800. Its totient is φ = 544304572416.

The previous prime is 2122479130657. The next prime is 2122479130693. The reversal of 2122479130680 is 860319742212.

2122479130680 is a `hidden beast` number, since 2 + 12 + 247 + 91 + 306 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 245454117 + ... + 245462763.

It is an arithmetic number, because the mean of its divisors is an integer number (18668005200).

Almost surely, 22122479130680 is an apocalyptic number.

2122479130680 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 2122479130680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584256998400).

2122479130680 is an abundant number, since it is smaller than the sum of its proper divisors (5046034866120).

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

2122479130680 is a wasteful number, since it uses less digits than its factorization.

2122479130680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8963 (or 8956 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2122479130680 in words is "two trillion, one hundred twenty-two billion, four hundred seventy-nine million, one hundred thirty thousand, six hundred eighty".