2546417152 has 80 divisors (see below), whose sum is σ = 5303232000. Its totient is φ = 1219993600.

The previous prime is 2546417149. The next prime is 2546417161. The reversal of 2546417152 is 2517146452.

It is a super-2 number, since 2×2546417152² = 12968480623999582208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2211777 + ... + 2212927.

It is an arithmetic number, because the mean of its divisors is an integer number (66290400).

Almost surely, 2^2546417152 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 2546417152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651616000).

2546417152 is an abundant number, since it is smaller than the sum of its proper divisors (2756814848).

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

2546417152 is a wasteful number, since it uses less digits than its factorization.

2546417152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1331 counting only the distinct ones).

The product of its digits is 67200, while the sum is 37.

The square root of 2546417152 is about 50462.0367405042. The cubic root of 2546417152 is about 1365.5570549463.

The spelling of 2546417152 in words is "two billion, five hundred forty-six million, four hundred seventeen thousand, one hundred fifty-two".