2137041274368 has 1920 divisors, whose sum is σ = 8294679106560. Its totient is φ = 479597690880.

The previous prime is 2137041274367. The next prime is 2137041274411. The reversal of 2137041274368 is 8634721407312.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137041274367) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22031353296 + ... + 22031353392.

It is an arithmetic number, because the mean of its divisors is an integer number (4320145368).

Almost surely, 2^{2137041274368} is an apocalyptic number.

2137041274368 is a gapful number since it is divisible by the number (28) 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 2137041274368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147339553280).

2137041274368 is an abundant number, since it is smaller than the sum of its proper divisors (6157637832192).

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

2137041274368 is a wasteful number, since it uses less digits than its factorization.

2137041274368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 2137041274368 in words is "two trillion, one hundred thirty-seven billion, forty-one million, two hundred seventy-four thousand, three hundred sixty-eight".