2652248400 has 240 divisors, whose sum is σ = 8886097920. Its totient is φ = 675417600.

The previous prime is 2652248371. The next prime is 2652248411. The reversal of 2652248400 is 48422562.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3087171 + ... + 3088029.

It is an arithmetic number, because the mean of its divisors is an integer number (37025408).

Almost surely, 2^2652248400 is an apocalyptic number.

2652248400 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 2652248400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443048960).

2652248400 is an abundant number, since it is smaller than the sum of its proper divisors (6233849520).

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

2652248400 is a wasteful number, since it uses less digits than its factorization.

2652248400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 2652248400 is about 51499.9844660171. The cubic root of 2652248400 is about 1384.2187637974.

The spelling of 2652248400 in words is "two billion, six hundred fifty-two million, two hundred forty-eight thousand, four hundred".