2015222400 has 288 divisors, whose sum is σ = 7251098400. Its totient is φ = 532899840.

The previous prime is 2015222399. The next prime is 2015222423. The reversal of 2015222400 is 42225102.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2015222400² = 8122242642923520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4809391 + ... + 4809809.

It is an arithmetic number, because the mean of its divisors is an integer number (25177425).

Almost surely, 2^2015222400 is an apocalyptic number.

2015222400 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 2015222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625549200).

2015222400 is an abundant number, since it is smaller than the sum of its proper divisors (5235876000).

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

2015222400 is a wasteful number, since it uses less digits than its factorization.

2015222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2015222400 is about 44891.2285418878. The cubic root of 2015222400 is about 1263.1094779688.

Adding to 2015222400 its reverse (42225102), we get a palindrome (2057447502).

The spelling of 2015222400 in words is "two billion, fifteen million, two hundred twenty-two thousand, four hundred".