2612430000 has 150 divisors (see below), whose sum is σ = 9136359804. Its totient is φ = 696624000.

The previous prime is 2612429987. The next prime is 2612430013. The reversal of 2612430000 is 342162.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2612429987) and next prime (2612430013).

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 75487 + ... + 104513.

Almost surely, 2^2612430000 is an apocalyptic number.

2612430000 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 2612430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568179902).

2612430000 is an abundant number, since it is smaller than the sum of its proper divisors (6523929804).

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

2612430000 is a wasteful number, since it uses less digits than its factorization.

2612430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29061 (or 29037 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2612430000 is about 51111.9359836819. The cubic root of 2612430000 is about 1377.2566799365.

Adding to 2612430000 its reverse (342162), we get a palindrome (2612772162).

The spelling of 2612430000 in words is "two billion, six hundred twelve million, four hundred thirty thousand".