2683240000 has 315 divisors, whose sum is σ = 7954698213. Its totient is φ = 895104000.

The previous prime is 2683239959. The next prime is 2683240003. The reversal of 2683240000 is 423862.

It is a happy number.

The square root of 2683240000 is 51800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 890903104 + 1792336896 = 29848^2 + 42336^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2683240003) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 72519982 + ... + 72520018.

Almost surely, 2^2683240000 is an apocalyptic number.

2683240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2683240000 is the 51800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2683240000

2683240000 is an abundant number, since it is smaller than the sum of its proper divisors (5271458213).

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

2683240000 is an frugal number, since it uses more digits than its factorization.

2683240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The cubic root of 2683240000 is about 1389.5894445062.

Multiplying 2683240000 by its sum of digits (25), we get a square (67081000000 = 259000²).

2683240000 divided by its sum of digits (25) gives a square (107329600 = 10360²).

Multiplying 2683240000 by its product of nonzero digits (2304), we get a square (6182184960000 = 2486400²).

Adding to 2683240000 its reverse (423862), we get a palindrome (2683663862).

The spelling of 2683240000 in words is "two billion, six hundred eighty-three million, two hundred forty thousand".