2541796956 has 96 divisors (see below), whose sum is σ = 7081966080. Its totient is φ = 785486592.

The previous prime is 2541796921. The next prime is 2541796967. The reversal of 2541796956 is 6596971452.

2541796956 is a `hidden beast` number, since 2 + 541 + 7 + 9 + 6 + 95 + 6 = 666.

2541796956 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112681 + ... + 133343.

It is an arithmetic number, because the mean of its divisors is an integer number (73770480).

Almost surely, 2^2541796956 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 2541796956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540983040).

2541796956 is an abundant number, since it is smaller than the sum of its proper divisors (4540169124).

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

2541796956 is a wasteful number, since it uses less digits than its factorization.

2541796956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20760 (or 20752 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 2541796956 is about 50416.2370273705. The cubic root of 2541796956 is about 1364.7306702043.

The spelling of 2541796956 in words is "two billion, five hundred forty-one million, seven hundred ninety-six thousand, nine hundred fifty-six".