Search a number
-
+
2508480 = 263251367
BaseRepresentation
bin1001100100011011000000
311201102222200
421210123000
51120232410
6125433200
730215232
oct11443300
94642880
102508480
111463727
12a0b800
1369aa10
14494252
153483c0
hex2646c0

2508480 has 168 divisors, whose sum is σ = 9430512. Its totient is φ = 608256.

The previous prime is 2508433. The next prime is 2508481. The reversal of 2508480 is 848052.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2508481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37407 + ... + 37473.

It is an arithmetic number, because the mean of its divisors is an integer number (56134).

22508480 is an apocalyptic number.

2508480 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 2508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715256).

2508480 is an abundant number, since it is smaller than the sum of its proper divisors (6922032).

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

2508480 is a wasteful number, since it uses less digits than its factorization.

2508480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2508480 is about 1583.8181713821. The cubic root of 2508480 is about 135.8741627254.

The spelling of 2508480 in words is "two million, five hundred eight thousand, four hundred eighty".