2537402588160 has 1408 divisors, whose sum is σ = 9626887065600. Its totient is φ = 563942522880.

The previous prime is 2537402588153. The next prime is 2537402588167. The reversal of 2537402588160 is 618852047352.

It is an interprime number because it is at equal distance from previous prime (2537402588153) and next prime (2537402588167).

It is a tau number, because it is divible by the number of its divisors (1408).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2537402588167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23714042827 + ... + 23714042933.

Almost surely, 2^{2537402588160} is an apocalyptic number.

2537402588160 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 2537402588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4813443532800).

2537402588160 is an abundant number, since it is smaller than the sum of its proper divisors (7089484477440).

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

2537402588160 is a wasteful number, since it uses less digits than its factorization.

2537402588160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 2537402588160 in words is "two trillion, five hundred thirty-seven billion, four hundred two million, five hundred eighty-eight thousand, one hundred sixty".