2037009980160 has 1728 divisors, whose sum is σ = 8202508554240. Its totient is φ = 483251650560.

The previous prime is 2037009980149. The next prime is 2037009980183. The reversal of 2037009980160 is 610899007302.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 47372325099 + ... + 47372325141.

It is an arithmetic number, because the mean of its divisors is an integer number (4746822080).

Almost surely, 2^{2037009980160} is an apocalyptic number.

2037009980160 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 2037009980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101254277120).

2037009980160 is an abundant number, since it is smaller than the sum of its proper divisors (6165498574080).

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

2037009980160 is an frugal number, since it uses more digits than its factorization.

2037009980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

It can be divided in two parts, 2037009 and 980160, that added together give a square (3017169 = 1737²).

The spelling of 2037009980160 in words is "two trillion, thirty-seven billion, nine million, nine hundred eighty thousand, one hundred sixty".