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2580978972 = 22311131504067
BaseRepresentation
bin1001100111010110…
…1001110100011100
320122212120022112210
42121311221310130
520241212311342
61104035200420
7120646650015
oct23165516434
96585508483
102580978972
111104993780
12600446110
133219432c0
141a6ad000c
151018c479c
hex99d69d1c

2580978972 has 48 divisors (see below), whose sum is σ = 7075135872. Its totient is φ = 721951680.

The previous prime is 2580978949. The next prime is 2580978977. The reversal of 2580978972 is 2798790852.

It is a super-2 number, since 2×25809789722 = 13322904907812353568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2580978977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750318 + ... + 753749.

It is an arithmetic number, because the mean of its divisors is an integer number (147398664).

Almost surely, 22580978972 is an apocalyptic number.

2580978972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2580978972 is an abundant number, since it is smaller than the sum of its proper divisors (4494156900).

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

2580978972 is a wasteful number, since it uses less digits than its factorization.

2580978972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504098 (or 1504096 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 57.

The square root of 2580978972 is about 50803.3362290313. The cubic root of 2580978972 is about 1371.7074227309.

The spelling of 2580978972 in words is "two billion, five hundred eighty million, nine hundred seventy-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 1504067 3008134 4512201 6016268 9024402 16544737 18048804 19552871 33089474 39105742 49634211 58658613 66178948 78211484 99268422 117317226 198536844 215081581 234634452 430163162 645244743 860326324 1290489486 2580978972