2537823680 has 336 divisors, whose sum is σ = 7605467136. Its totient is φ = 801884160.

The previous prime is 2537823679. The next prime is 2537823713. The reversal of 2537823680 is 863287352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11179727 + ... + 11179953.

Almost surely, 2^2537823680 is an apocalyptic number.

2537823680 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 2537823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802733568).

2537823680 is an abundant number, since it is smaller than the sum of its proper divisors (5067643456).

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

2537823680 is a wasteful number, since it uses less digits than its factorization.

2537823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The square root of 2537823680 is about 50376.8168903118. The cubic root of 2537823680 is about 1364.0191946113.

The spelling of 2537823680 in words is "two billion, five hundred thirty-seven million, eight hundred twenty-three thousand, six hundred eighty".