2215401408 has 224 divisors, whose sum is σ = 7351776000. Its totient is φ = 648023040.

The previous prime is 2215401407. The next prime is 2215401413. The reversal of 2215401408 is 8041045122.

2215401408 is a `hidden beast` number, since 2 + 215 + 40 + 1 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2215401407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549223 + ... + 553241.

Almost surely, 2^2215401408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2215401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675888000).

2215401408 is an abundant number, since it is smaller than the sum of its proper divisors (5136374592).

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

2215401408 is a wasteful number, since it uses less digits than its factorization.

2215401408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2215401408 is about 47068.0508200626. The cubic root of 2215401408 is about 1303.6193828110.

The spelling of 2215401408 in words is "two billion, two hundred fifteen million, four hundred one thousand, four hundred eight".