2607612420 has 144 divisors (see below), whose sum is σ = 8537961600. Its totient is φ = 592897536.

The previous prime is 2607612389. The next prime is 2607612431. The reversal of 2607612420 is 242167062.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 582832 + ... + 587288.

It is an arithmetic number, because the mean of its divisors is an integer number (59291400).

Almost surely, 2^2607612420 is an apocalyptic number.

2607612420 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 2607612420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268980800).

2607612420 is an abundant number, since it is smaller than the sum of its proper divisors (5930349180).

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

2607612420 is a wasteful number, since it uses less digits than its factorization.

2607612420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4682 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2607612420 is about 51064.7864971548. The cubic root of 2607612420 is about 1376.4095596973.

Adding to 2607612420 its reverse (242167062), we get a palindrome (2849779482).

The spelling of 2607612420 in words is "two billion, six hundred seven million, six hundred twelve thousand, four hundred twenty".