2426970000 has 600 divisors, whose sum is σ = 9892033536. Its totient is φ = 508032000.

The previous prime is 2426969983. The next prime is 2426970001. The reversal of 2426970000 is 796242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2426970000.

It is not an unprimeable number, because it can be changed into a prime (2426970001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 19109937 + ... + 19110063.

Almost surely, 2^2426970000 is an apocalyptic number.

2426970000 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 2426970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946016768).

2426970000 is an abundant number, since it is smaller than the sum of its proper divisors (7465063536).

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

2426970000 is a wasteful number, since it uses less digits than its factorization.

2426970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2426970000 is about 49264.2872677561. The cubic root of 2426970000 is about 1343.8623991071.

The spelling of 2426970000 in words is "two billion, four hundred twenty-six million, nine hundred seventy thousand".