2037252000 has 384 divisors, whose sum is σ = 7749181440. Its totient is φ = 458265600.

The previous prime is 2037251987. The next prime is 2037252011. The reversal of 2037252000 is 2527302.

2037252000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6635847 + ... + 6636153.

It is an arithmetic number, because the mean of its divisors is an integer number (20180160).

Almost surely, 2^2037252000 is an apocalyptic number.

2037252000 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 2037252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874590720).

2037252000 is an abundant number, since it is smaller than the sum of its proper divisors (5711929440).

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

2037252000 is a wasteful number, since it uses less digits than its factorization.

2037252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 2037252000 is about 45135.9280396449. The cubic root of 2037252000 is about 1267.6954092633.

Adding to 2037252000 its reverse (2527302), we get a palindrome (2039779302).

The spelling of 2037252000 in words is "two billion, thirty-seven million, two hundred fifty-two thousand".