2546322240 has 896 divisors, whose sum is σ = 11119104000. Its totient is φ = 487710720.

The previous prime is 2546322217. The next prime is 2546322253. The reversal of 2546322240 is 422236452.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2546322198 and 2546322207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68819502 + ... + 68819538.

Almost surely, 2^2546322240 is an apocalyptic number.

2546322240 is a gapful number since it is divisible by the number (20) 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 2546322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559552000).

2546322240 is an abundant number, since it is smaller than the sum of its proper divisors (8572781760).

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

2546322240 is a wasteful number, since it uses less digits than its factorization.

2546322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 2546322240 is about 50461.0963020028. The cubic root of 2546322240 is about 1365.5400887079.

Adding to 2546322240 its reverse (422236452), we get a palindrome (2968558692).

The spelling of 2546322240 in words is "two billion, five hundred forty-six million, three hundred twenty-two thousand, two hundred forty".