2633742400 has 63 divisors (see below), whose sum is σ = 6485707501. Its totient is φ = 1052675840.

The previous prime is 2633742367. The next prime is 2633742401. The reversal of 2633742400 is 42473362.

The square root of 2633742400 is 51320.

It is a perfect power (a square), and thus also a powerful number.

2633742400 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 only one way, i.e., 948147264 + 1685595136 = 30792^2 + 41056^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2633742401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2052159 + ... + 2053441.

Almost surely, 2^2633742400 is an apocalyptic number.

2633742400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2633742400 is the 51320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2633742400

2633742400 is an abundant number, since it is smaller than the sum of its proper divisors (3851965101).

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

2633742400 is an frugal number, since it uses more digits than its factorization.

2633742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 31.

The cubic root of 2633742400 is about 1380.9917956098.

The spelling of 2633742400 in words is "two billion, six hundred thirty-three million, seven hundred forty-two thousand, four hundred".