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2490080 = 25579197
BaseRepresentation
bin1001011111111011100000
311200111202012
421133323200
51114140310
6125212052
730110465
oct11377340
94614665
102490080
11145091a
12a01028
13692528
1448b66c
15342c05
hex25fee0

2490080 has 48 divisors (see below), whose sum is σ = 5987520. Its totient is φ = 978432.

The previous prime is 2490079. The next prime is 2490091. The reversal of 2490080 is 800942.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12542 + ... + 12738.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

22490080 is an apocalyptic number.

2490080 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 2490080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993760).

2490080 is an abundant number, since it is smaller than the sum of its proper divisors (3497440).

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

2490080 is a wasteful number, since it uses less digits than its factorization.

2490080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2490080 is about 1577.9987325724. The cubic root of 2490080 is about 135.5411293834.

The spelling of 2490080 in words is "two million, four hundred ninety thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 197 316 394 395 632 788 790 985 1264 1576 1580 1970 2528 3152 3160 3940 6304 6320 7880 12640 15563 15760 31126 31520 62252 77815 124504 155630 249008 311260 498016 622520 1245040 2490080