2623142400 has 120 divisors (see below), whose sum is σ = 8665513824. Its totient is φ = 699494400.

The previous prime is 2623142399. The next prime is 2623142411. The reversal of 2623142400 is 42413262.

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 (24).

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, 4245 + ... + 72555.

Almost surely, 2^2623142400 is an apocalyptic number.

2623142400 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 2623142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332756912).

2623142400 is an abundant number, since it is smaller than the sum of its proper divisors (6042371424).

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

2623142400 is an equidigital number, since it uses as much as digits as its factorization.

2623142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68342 (or 68321 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2623142400 is about 51216.6223017489. The cubic root of 2623142400 is about 1379.1366160042.

Adding to 2623142400 its reverse (42413262), we get a palindrome (2665555662).

The spelling of 2623142400 in words is "two billion, six hundred twenty-three million, one hundred forty-two thousand, four hundred".