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2461980 = 2235371109
BaseRepresentation
bin1001011001000100011100
311122002012110
421121010130
51112240410
6124434020
726632533
oct11310434
94562173
102461980
1114317a4
129a8910
136827c1
1448131a
15339720
hex25911c

2461980 has 48 divisors (see below), whose sum is σ = 7086240. Its totient is φ = 638208.

The previous prime is 2461973. The next prime is 2461993. The reversal of 2461980 is 891642.

It is a super-2 number, since 2×24619802 = 12122691040800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1666 + ... + 2774.

It is an arithmetic number, because the mean of its divisors is an integer number (147630).

22461980 is an apocalyptic number.

2461980 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 2461980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543120).

2461980 is an abundant number, since it is smaller than the sum of its proper divisors (4624260).

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

2461980 is a wasteful number, since it uses less digits than its factorization.

2461980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2461980 is about 1569.0697881229. The cubic root of 2461980 is about 135.0293489003.

The spelling of 2461980 in words is "two million, four hundred sixty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1109 1110 2218 2220 3327 4436 5545 6654 11090 13308 16635 22180 33270 41033 66540 82066 123099 164132 205165 246198 410330 492396 615495 820660 1230990 2461980