2210880400 has 45 divisors (see below), whose sum is σ = 5313900433. Its totient is φ = 883976000.

The previous prime is 2210880377. The next prime is 2210880439. The reversal of 2210880400 is 40880122.

The square root of 2210880400 is 47020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 795916944 + 1414963456 = 28212^2 + 37616^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 939225 + ... + 941575.

Almost surely, 2^2210880400 is an apocalyptic number.

2210880400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2210880400 is the 47020-th square number.

It is an amenable number.

2210880400 is an abundant number, since it is smaller than the sum of its proper divisors (3103020033).

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

2210880400 is an frugal number, since it uses more digits than its factorization.

2210880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The cubic root of 2210880400 is about 1302.7320060289.

Multiplying 2210880400 by its sum of digits (25), we get a square (55272010000 = 235100²).

2210880400 divided by its sum of digits (25) gives a square (88435216 = 9404²).

Multiplying 2210880400 by its product of nonzero digits (1024), we get a square (2263941529600 = 1504640²).

The spelling of 2210880400 in words is "two billion, two hundred ten million, eight hundred eighty thousand, four hundred".