2052152893440 has 896 divisors, whose sum is σ = 8027156229120. Its totient is φ = 494234763264.

The previous prime is 2052152893367. The next prime is 2052152893471. The reversal of 2052152893440 is 443982512502.

2052152893440 is a `hidden beast` number, since 2 + 0 + 5 + 21 + 5 + 289 + 344 + 0 = 666.

It is a super-2 number, since 2×2052152893440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 675715602 + ... + 675718638.

It is an arithmetic number, because the mean of its divisors is an integer number (8958879720).

Almost surely, 2^{2052152893440} is an apocalyptic number.

2052152893440 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 2052152893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013578114560).

2052152893440 is an abundant number, since it is smaller than the sum of its proper divisors (5975003335680).

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

2052152893440 is a wasteful number, since it uses less digits than its factorization.

2052152893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2052152893440 in words is "two trillion, fifty-two billion, one hundred fifty-two million, eight hundred ninety-three thousand, four hundred forty".