2546205948 has 192 divisors, whose sum is σ = 7829337600. Its totient is φ = 705438720.

The previous prime is 2546205943. The next prime is 2546205967. The reversal of 2546205948 is 8495026452.

2546205948 is a `hidden beast` number, since 2 + 54 + 6 + 2 + 0 + 594 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2546205943) 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, 1744443 + ... + 1745901.

It is an arithmetic number, because the mean of its divisors is an integer number (40777800).

Almost surely, 2^2546205948 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 2546205948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914668800).

2546205948 is an abundant number, since it is smaller than the sum of its proper divisors (5283131652).

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

2546205948 is a wasteful number, since it uses less digits than its factorization.

2546205948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2546205948 is about 50459.9439952127. The cubic root of 2546205948 is about 1365.5193000579.

The spelling of 2546205948 in words is "two billion, five hundred forty-six million, two hundred five thousand, nine hundred forty-eight".