2478330000 has 400 divisors, whose sum is σ = 9087840960. Its totient is φ = 646272000.

The previous prime is 2478329981. The next prime is 2478330031. The reversal of 2478330000 is 338742.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×2478330000² = 12284239177800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18089932 + ... + 18090068.

Almost surely, 2^2478330000 is an apocalyptic number.

2478330000 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 2478330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543920480).

2478330000 is an abundant number, since it is smaller than the sum of its proper divisors (6609510960).

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

2478330000 is a wasteful number, since it uses less digits than its factorization.

2478330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2478330000 is about 49782.8283648087. The cubic root of 2478330000 is about 1353.2759944538.

Adding to 2478330000 its reverse (338742), we get a palindrome (2478668742).

The spelling of 2478330000 in words is "two billion, four hundred seventy-eight million, three hundred thirty thousand".