2646425600 has 360 divisors, whose sum is σ = 8191225728. Its totient is φ = 825753600.

The previous prime is 2646425597. The next prime is 2646425603. The reversal of 2646425600 is 65246462.

It is an interprime number because it is at equal distance from previous prime (2646425597) and next prime (2646425603).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2646425603) 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, 37273565 + ... + 37273635.

Almost surely, 2^2646425600 is an apocalyptic number.

2646425600 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 2646425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095612864).

2646425600 is an abundant number, since it is smaller than the sum of its proper divisors (5544800128).

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

2646425600 is an equidigital number, since it uses as much as digits as its factorization.

2646425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 2646425600 is about 51443.4213481180. The cubic root of 2646425600 is about 1383.2050409241.

The spelling of 2646425600 in words is "two billion, six hundred forty-six million, four hundred twenty-five thousand, six hundred".