2210451040 has 192 divisors, whose sum is σ = 6283847808. Its totient is φ = 718848000.

The previous prime is 2210451029. The next prime is 2210451043. The reversal of 2210451040 is 401540122.

It is a junction number, because it is equal to n+sod(n) for n = 2210450999 and 2210451017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210451043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1698390 + ... + 1699690.

It is an arithmetic number, because the mean of its divisors is an integer number (32728374).

Almost surely, 2^2210451040 is an apocalyptic number.

2210451040 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 2210451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141923904).

2210451040 is an abundant number, since it is smaller than the sum of its proper divisors (4073396768).

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

2210451040 is a wasteful number, since it uses less digits than its factorization.

2210451040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2210451040 is about 47015.4340615930. The cubic root of 2210451040 is about 1302.6476690039.

Adding to 2210451040 its reverse (401540122), we get a palindrome (2611991162).

The spelling of 2210451040 in words is "two billion, two hundred ten million, four hundred fifty-one thousand, forty".