2147933952 has 432 divisors, whose sum is σ = 7117044480. Its totient is φ = 619315200.

The previous prime is 2147933947. The next prime is 2147933971. The reversal of 2147933952 is 2593397412.

It is a super-2 number, since 2×2147933952² = 9227240524308676608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2147933898 and 2147933907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35212002 + ... + 35212062.

It is an arithmetic number, because the mean of its divisors is an integer number (16474640).

Almost surely, 2^2147933952 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 2147933952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558522240).

2147933952 is an abundant number, since it is smaller than the sum of its proper divisors (4969110528).

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

2147933952 is a wasteful number, since it uses less digits than its factorization.

2147933952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 2147933952 is about 46345.8083541543. The cubic root of 2147933952 is about 1290.2493262447.

The spelling of 2147933952 in words is "two billion, one hundred forty-seven million, nine hundred thirty-three thousand, nine hundred fifty-two".