2540202000 has 320 divisors, whose sum is σ = 9666428928. Its totient is φ = 561600000.

The previous prime is 2540201981. The next prime is 2540202001. The reversal of 2540202000 is 2020452.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2540202001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1301025 + ... + 1302975.

Almost surely, 2^2540202000 is an apocalyptic number.

2540202000 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 2540202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4833214464).

2540202000 is an abundant number, since it is smaller than the sum of its proper divisors (7126226928).

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

2540202000 is a wasteful number, since it uses less digits than its factorization.

2540202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2540202000 is about 50400.4166649443. The cubic root of 2540202000 is about 1364.4451581760.

Adding to 2540202000 its reverse (2020452), we get a palindrome (2542222452).

The spelling of 2540202000 in words is "two billion, five hundred forty million, two hundred two thousand".