2542263600 has 120 divisors (see below), whose sum is σ = 8497884672. Its totient is φ = 648454400.

The previous prime is 2542263547. The next prime is 2542263601. The reversal of 2542263600 is 63622452.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2542263601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18456 + ... + 73655.

Almost surely, 2^2542263600 is an apocalyptic number.

2542263600 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 2542263600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248942336).

2542263600 is an abundant number, since it is smaller than the sum of its proper divisors (5955621072).

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

2542263600 is a wasteful number, since it uses less digits than its factorization.

2542263600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92155 (or 92144 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2542263600 is about 50420.8647288005. The cubic root of 2542263600 is about 1364.8141812559.

The spelling of 2542263600 in words is "two billion, five hundred forty-two million, two hundred sixty-three thousand, six hundred".