2546106156 has 192 divisors, whose sum is σ = 7504358400. Its totient is φ = 739468800.

The previous prime is 2546106151. The next prime is 2546106161. The reversal of 2546106156 is 6516016452.

2546106156 is a `hidden beast` number, since 2 + 546 + 1 + 0 + 61 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (2546106151) and next prime (2546106161).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2546106156.

It is not an unprimeable number, because it can be changed into a prime (2546106151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9060736 + ... + 9061016.

It is an arithmetic number, because the mean of its divisors is an integer number (39085200).

Almost surely, 2^2546106156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2546106156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752179200).

2546106156 is an abundant number, since it is smaller than the sum of its proper divisors (4958252244).

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

2546106156 is a wasteful number, since it uses less digits than its factorization.

2546106156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 589 counting only the distinct ones).

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

The square root of 2546106156 is about 50458.9551615964. The cubic root of 2546106156 is about 1365.5014604846.

The spelling of 2546106156 in words is "two billion, five hundred forty-six million, one hundred six thousand, one hundred fifty-six".