2052949440 has 224 divisors, whose sum is σ = 6928591680. Its totient is φ = 514031616.

The previous prime is 2052949439. The next prime is 2052949441. The reversal of 2052949440 is 449492502.

It is an interprime number because it is at equal distance from previous prime (2052949439) and next prime (2052949441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052949441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1029084 + ... + 1031076.

Almost surely, 2^2052949440 is an apocalyptic number.

2052949440 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 2052949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464295840).

2052949440 is an abundant number, since it is smaller than the sum of its proper divisors (4875642240).

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

2052949440 is a wasteful number, since it uses less digits than its factorization.

2052949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 2052949440 is about 45309.4850997007. The cubic root of 2052949440 is about 1270.9430324033.

The spelling of 2052949440 in words is "two billion, fifty-two million, nine hundred forty-nine thousand, four hundred forty".