2190038400 has 576 divisors, whose sum is σ = 8839434240. Its totient is φ = 511488000.

The previous prime is 2190038377. The next prime is 2190038407. The reversal of 2190038400 is 48300912.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190038407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9820689 + ... + 9820911.

It is an arithmetic number, because the mean of its divisors is an integer number (15346240).

Almost surely, 2^2190038400 is an apocalyptic number.

2190038400 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 2190038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419717120).

2190038400 is an abundant number, since it is smaller than the sum of its proper divisors (6649395840).

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

2190038400 is a wasteful number, since it uses less digits than its factorization.

2190038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2190038400 is about 46797.8461042813. The cubic root of 2190038400 is about 1298.6254504912.

The spelling of 2190038400 in words is "two billion, one hundred ninety million, thirty-eight thousand, four hundred".