2653310400 has 336 divisors, whose sum is σ = 9489996768. Its totient is φ = 645120000.

The previous prime is 2653310371. The next prime is 2653310437. The reversal of 2653310400 is 40133562.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 6302190 + ... + 6302610.

It is an arithmetic number, because the mean of its divisors is an integer number (28244038).

Almost surely, 2^2653310400 is an apocalyptic number.

2653310400 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 2653310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744998384).

2653310400 is an abundant number, since it is smaller than the sum of its proper divisors (6836686368).

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

2653310400 is a wasteful number, since it uses less digits than its factorization.

2653310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2653310400 is about 51510.2941168074. The cubic root of 2653310400 is about 1384.4034931214.

Adding to 2653310400 its reverse (40133562), we get a palindrome (2693443962).

The spelling of 2653310400 in words is "two billion, six hundred fifty-three million, three hundred ten thousand, four hundred".