2537438347352 has 32 divisors (see below), whose sum is σ = 5044666780800. Its totient is φ = 1192404401664.

The previous prime is 2537438347351. The next prime is 2537438347373.

2537438347352 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2537438347352² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2537438347351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13061288 + ... + 13254135.

It is an arithmetic number, because the mean of its divisors is an integer number (157645836900).

Almost surely, 2^{2537438347352} is an apocalyptic number.

It is an amenable number.

2537438347352 is a deficient number, since it is larger than the sum of its proper divisors (2507228433448).

2537438347352 is a wasteful number, since it uses less digits than its factorization.

2537438347352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26316155 (or 26316151 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 56.

The spelling of 2537438347352 in words is "two trillion, five hundred thirty-seven billion, four hundred thirty-eight million, three hundred forty-seven thousand, three hundred fifty-two".