2996021952 has 672 divisors, whose sum is σ = 11675059200. Its totient is φ = 735989760.

The previous prime is 2996021891. The next prime is 2996021969. The reversal of 2996021952 is 2591206992.

2996021952 is a `hidden beast` number, since 29 + 9 + 602 + 19 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2996021952² = 17952295073731780608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2996021898 and 2996021907.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33663124 + ... + 33663212.

It is an arithmetic number, because the mean of its divisors is an integer number (17373600).

Almost surely, 2^2996021952 is an apocalyptic number.

2996021952 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 2996021952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837529600).

2996021952 is an abundant number, since it is smaller than the sum of its proper divisors (8679037248).

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

2996021952 is a wasteful number, since it uses less digits than its factorization.

2996021952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 2996021952 is about 54735.9292604044. The cubic root of 2996021952 is about 1441.6118063271.

The spelling of 2996021952 in words is "two billion, nine hundred ninety-six million, twenty-one thousand, nine hundred fifty-two".