2540453200 has 60 divisors (see below), whose sum is σ = 6108296668. Its totient is φ = 1015372800.

The previous prime is 2540453173. The next prime is 2540453207. The reversal of 2540453200 is 23540452.

2540453200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 181602576 + 2358850624 = 13476^2 + 48568^2 .

It is a super-2 number, since 2×2540453200² = 12907804922780480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540453207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 935044 + ... + 937756.

Almost surely, 2^2540453200 is an apocalyptic number.

2540453200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2540453200 is an abundant number, since it is smaller than the sum of its proper divisors (3567843468).

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

2540453200 is a wasteful number, since it uses less digits than its factorization.

2540453200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5072 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2540453200 is about 50402.9086462279. The cubic root of 2540453200 is about 1364.4901332510.

Adding to 2540453200 its reverse (23540452), we get a palindrome (2563993652).

The spelling of 2540453200 in words is "two billion, five hundred forty million, four hundred fifty-three thousand, two hundred".