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2604861259980 = 22357173153233953
BaseRepresentation
bin100101111001111101110…
…101001000000011001100
3100020000121021000111111020
4211321331311020003030
5320134223440304410
65312353504554140
7356123614245510
oct45717565100314
910200537014436
102604861259980
119147962aaa11
12360a0a922950
1315b839394775
149010c5dc140
1547b599e8a70
hex25e7dd480cc

2604861259980 has 768 divisors, whose sum is σ = 9332107739136. Its totient is φ = 529225482240.

The previous prime is 2604861259961. The next prime is 2604861260003. The reversal of 2604861259980 is 899521684062.

2604861259980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2733327184 + ... + 2733328136.

It is an arithmetic number, because the mean of its divisors is an integer number (12151181952).

Almost surely, 22604861259980 is an apocalyptic number.

2604861259980 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 2604861259980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666053869568).

2604861259980 is an abundant number, since it is smaller than the sum of its proper divisors (6727246479156).

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

2604861259980 is a wasteful number, since it uses less digits than its factorization.

2604861259980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 2604861259980 in words is "two trillion, six hundred four billion, eight hundred sixty-one million, two hundred fifty-nine thousand, nine hundred eighty".