2466328400 has 60 divisors (see below), whose sum is σ = 5996824512. Its totient is φ = 974632320.

The previous prime is 2466328373. The next prime is 2466328427. The reversal of 2466328400 is 48236642.

It is an interprime number because it is at equal distance from previous prime (2466328373) and next prime (2466328427).

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, 3944 + ... + 70343.

Almost surely, 2^2466328400 is an apocalyptic number.

2466328400 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 2466328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998412256).

2466328400 is an abundant number, since it is smaller than the sum of its proper divisors (3530496112).

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

2466328400 is a wasteful number, since it uses less digits than its factorization.

2466328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74388 (or 74377 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 2466328400 is about 49662.1425232541. The cubic root of 2466328400 is about 1351.0879935265.

The spelling of 2466328400 in words is "two billion, four hundred sixty-six million, three hundred twenty-eight thousand, four hundred".