2037386977920 has 768 divisors, whose sum is σ = 8413574284800. Its totient is φ = 464593231872.

The previous prime is 2037386977907. The next prime is 2037386977921. The reversal of 2037386977920 is 297796837302.

It is a super-3 number, since 3×2037386977920³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2037386977921) 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 95 ways as a sum of consecutive naturals, for example, 392028762 + ... + 392033958.

It is an arithmetic number, because the mean of its divisors is an integer number (10955174850).

Almost surely, 2^{2037386977920} is an apocalyptic number.

2037386977920 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 2037386977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206787142400).

2037386977920 is an abundant number, since it is smaller than the sum of its proper divisors (6376187306880).

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

2037386977920 is a wasteful number, since it uses less digits than its factorization.

2037386977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5702 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 2037386977920 in words is "two trillion, thirty-seven billion, three hundred eighty-six million, nine hundred seventy-seven thousand, nine hundred twenty".