2537442000 has 240 divisors, whose sum is σ = 9169926480. Its totient is φ = 653184000.

The previous prime is 2537441999. The next prime is 2537442031. The reversal of 2537442000 is 2447352.

2537442000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 289544256 + 2247897744 = 17016^2 + 47412^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2537442000² = 12877223806728000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519570 + ... + 524430.

It is an arithmetic number, because the mean of its divisors is an integer number (38208027).

Almost surely, 2^2537442000 is an apocalyptic number.

2537442000 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 2537442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584963240).

2537442000 is an abundant number, since it is smaller than the sum of its proper divisors (6632484480).

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

2537442000 is a wasteful number, since it uses less digits than its factorization.

2537442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4919 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2537442000 is about 50373.0284974013. The cubic root of 2537442000 is about 1363.9508099093.

Adding to 2537442000 its reverse (2447352), we get a palindrome (2539889352).

The spelling of 2537442000 in words is "two billion, five hundred thirty-seven million, four hundred forty-two thousand".