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2493722880 = 283251121789
BaseRepresentation
bin1001010010100011…
…0011000100000000
320102210101020200200
42110220303010000
520101343113010
61051241045200
7115540203045
oct22450630400
96383336620
102493722880
11106a706a00
12597186800
1330984228c
141992991cc
15e8ddacc0
hex94a33100

2493722880 has 324 divisors, whose sum is σ = 9488994060. Its totient is φ = 604200960.

The previous prime is 2493722873. The next prime is 2493722897. The reversal of 2493722880 is 882273942.

It can be written as a sum of positive squares in 2 ways, for example, as 1739890944 + 753831936 = 41712^2 + 27456^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1393026 + ... + 1394814.

Almost surely, 22493722880 is an apocalyptic number.

2493722880 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 2493722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744497030).

2493722880 is an abundant number, since it is smaller than the sum of its proper divisors (6995271180).

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

2493722880 is a wasteful number, since it uses less digits than its factorization.

2493722880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2493722880 is about 49937.1893482202. The cubic root of 2493722880 is about 1356.0719412585.

It can be divided in two parts, 249372 and 2880, that added together give a palindrome (252252).

The spelling of 2493722880 in words is "two billion, four hundred ninety-three million, seven hundred twenty-two thousand, eight hundred eighty".