2037542560 has 96 divisors (see below), whose sum is σ = 4970839104. Its totient is φ = 788736000.

The previous prime is 2037542527. The next prime is 2037542567. The reversal of 2037542560 is 652457302.

It is a super-4 number, since 4×2037542560⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2037542567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 858175 + ... + 860545.

It is an arithmetic number, because the mean of its divisors is an integer number (51779574).

Almost surely, 2^2037542560 is an apocalyptic number.

2037542560 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 2037542560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485419552).

2037542560 is an abundant number, since it is smaller than the sum of its proper divisors (2933296544).

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

2037542560 is a wasteful number, since it uses less digits than its factorization.

2037542560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 2037542560 is about 45139.1466467854. The cubic root of 2037542560 is about 1267.7556741149.

Adding to 2037542560 its reverse (652457302), we get a palindrome (2689999862).

The spelling of 2037542560 in words is "two billion, thirty-seven million, five hundred forty-two thousand, five hundred sixty".