2632403400 has 288 divisors, whose sum is σ = 9083793600. Its totient is φ = 630080000.

The previous prime is 2632403377. The next prime is 2632403453. The reversal of 2632403400 is 43042362.

It is a happy number.

2632403400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7332421 + ... + 7332779.

It is an arithmetic number, because the mean of its divisors is an integer number (31540950).

Almost surely, 2^2632403400 is an apocalyptic number.

2632403400 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 2632403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4541896800).

2632403400 is an abundant number, since it is smaller than the sum of its proper divisors (6451390200).

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

2632403400 is a wasteful number, since it uses less digits than its factorization.

2632403400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2632403400 is about 51306.9527452177. The cubic root of 2632403400 is about 1380.7577229239.

Adding to 2632403400 its reverse (43042362), we get a palindrome (2675445762).

The spelling of 2632403400 in words is "two billion, six hundred thirty-two million, four hundred three thousand, four hundred".