2212649460 has 240 divisors, whose sum is σ = 8127947520. Its totient is φ = 493309440.

The previous prime is 2212649437. The next prime is 2212649477. The reversal of 2212649460 is 649462122.

2212649460 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 649 + 4 + 6 + 0 = 666.

2212649460 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 462561 + ... + 467319.

It is an arithmetic number, because the mean of its divisors is an integer number (33866448).

Almost surely, 2^2212649460 is an apocalyptic number.

2212649460 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 2212649460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063973760).

2212649460 is an abundant number, since it is smaller than the sum of its proper divisors (5915298060).

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

2212649460 is a wasteful number, since it uses less digits than its factorization.

2212649460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4828 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2212649460 is about 47038.8080206121. The cubic root of 2212649460 is about 1303.0793784556.

The spelling of 2212649460 in words is "two billion, two hundred twelve million, six hundred forty-nine thousand, four hundred sixty".