2540252000 has 192 divisors, whose sum is σ = 7334203968. Its totient is φ = 852480000.

The previous prime is 2540251969. The next prime is 2540252027. The reversal of 2540252000 is 2520452.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569780 + ... + 574220.

It is an arithmetic number, because the mean of its divisors is an integer number (38198979).

Almost surely, 2^2540252000 is an apocalyptic number.

2540252000 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 2540252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667101984).

2540252000 is an abundant number, since it is smaller than the sum of its proper divisors (4793951968).

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

2540252000 is a wasteful number, since it uses less digits than its factorization.

2540252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 4472 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 2540252000 is about 50400.9126901488. The cubic root of 2540252000 is about 1364.4541104575.

Adding to 2540252000 its reverse (2520452), we get a palindrome (2542772452).

The spelling of 2540252000 in words is "two billion, five hundred forty million, two hundred fifty-two thousand".