2506145616 has 120 divisors (see below), whose sum is σ = 7789709760. Its totient is φ = 771099264.

The previous prime is 2506145599. The next prime is 2506145659. The reversal of 2506145616 is 6165416052.

2506145616 is a `hidden beast` number, since 2 + 506 + 145 + 6 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55845 + ... + 90171.

It is an arithmetic number, because the mean of its divisors is an integer number (64914248).

Almost surely, 2^2506145616 is an apocalyptic number.

2506145616 is a gapful number since it is divisible by the number (26) 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 2506145616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894854880).

2506145616 is an abundant number, since it is smaller than the sum of its proper divisors (5283564144).

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

2506145616 is a wasteful number, since it uses less digits than its factorization.

2506145616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34370 (or 34345 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2506145616 is about 50061.4184377550. The cubic root of 2506145616 is about 1358.3200161424.

The spelling of 2506145616 in words is "two billion, five hundred six million, one hundred forty-five thousand, six hundred sixteen".