2219962402152 has 288 divisors, whose sum is σ = 7223152285440. Its totient is φ = 612719078400.

The previous prime is 2219962402139. The next prime is 2219962402159. The reversal of 2219962402152 is 2512042699122.

2219962402152 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 9 + 624 + 0 + 2 + 15 + 2 = 666.

It is a super-2 number, since 2×2219962402152² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2219962402098 and 2219962402107.

It is not an unprimeable number, because it can be changed into a prime (2219962402159) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4349463 + ... + 4832985.

It is an arithmetic number, because the mean of its divisors is an integer number (25080389880).

Almost surely, 2^{2219962402152} is an apocalyptic number.

2219962402152 is a gapful number since it is divisible by the number (22) 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 2219962402152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611576142720).

2219962402152 is an abundant number, since it is smaller than the sum of its proper divisors (5003189883288).

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

2219962402152 is a wasteful number, since it uses less digits than its factorization.

2219962402152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483605 (or 483587 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2219962402152 in words is "two trillion, two hundred nineteen billion, nine hundred sixty-two million, four hundred two thousand, one hundred fifty-two".