2653630400 has 84 divisors (see below), whose sum is σ = 6574002600. Its totient is φ = 1054233600.

The previous prime is 2653630391. The next prime is 2653630457. The reversal of 2653630400 is 40363562.

2653630400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232835 + ... + 243965.

Almost surely, 2^2653630400 is an apocalyptic number.

2653630400 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 2653630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287001300).

2653630400 is an abundant number, since it is smaller than the sum of its proper divisors (3920372200).

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

2653630400 is a wasteful number, since it uses less digits than its factorization.

2653630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11302 (or 11287 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 2653630400 is about 51513.4001983950. The cubic root of 2653630400 is about 1384.4591457769.

Adding to 2653630400 its reverse (40363562), we get a palindrome (2693993962).

The spelling of 2653630400 in words is "two billion, six hundred fifty-three million, six hundred thirty thousand, four hundred".