2212953600 has 720 divisors, whose sum is σ = 8914143744. Its totient is φ = 479232000.

The previous prime is 2212953581. The next prime is 2212953619. The reversal of 2212953600 is 63592122.

It is an interprime number because it is at equal distance from previous prime (2212953581) and next prime (2212953619).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71385585 + ... + 71385615.

Almost surely, 2^2212953600 is an apocalyptic number.

2212953600 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 2212953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457071872).

2212953600 is an abundant number, since it is smaller than the sum of its proper divisors (6701190144).

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

2212953600 is a wasteful number, since it uses less digits than its factorization.

2212953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2212953600 is about 47042.0407720583. The cubic root of 2212953600 is about 1303.1390806983.

The spelling of 2212953600 in words is "two billion, two hundred twelve million, nine hundred fifty-three thousand, six hundred".