2145440400 has 120 divisors (see below), whose sum is σ = 6885526560. Its totient is φ = 571038720.

The previous prime is 2145440399. The next prime is 2145440411. The reversal of 2145440400 is 40445412.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 789444 + ... + 792156.

It is an arithmetic number, because the mean of its divisors is an integer number (57379388).

Almost surely, 2^2145440400 is an apocalyptic number.

2145440400 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 2145440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442763280).

2145440400 is an abundant number, since it is smaller than the sum of its proper divisors (4740086160).

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

2145440400 is a wasteful number, since it uses less digits than its factorization.

2145440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2145440400 is about 46318.8989506443. The cubic root of 2145440400 is about 1289.7498463320.

Adding to 2145440400 its reverse (40445412), we get a palindrome (2185885812).

The spelling of 2145440400 in words is "two billion, one hundred forty-five million, four hundred forty thousand, four hundred".