2546755640 has 192 divisors, whose sum is σ = 7008314400. Its totient is φ = 824678400.

The previous prime is 2546755619. The next prime is 2546755657. The reversal of 2546755640 is 465576452.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 2546755591 and 2546755600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2155850 + ... + 2157030.

Almost surely, 2^2546755640 is an apocalyptic number.

2546755640 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 2546755640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504157200).

2546755640 is an abundant number, since it is smaller than the sum of its proper divisors (4461558760).

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

2546755640 is a wasteful number, since it uses less digits than its factorization.

2546755640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 44.

The square root of 2546755640 is about 50465.3905166699. The cubic root of 2546755640 is about 1365.6175588058.

The spelling of 2546755640 in words is "two billion, five hundred forty-six million, seven hundred fifty-five thousand, six hundred forty".