2070552000 has 672 divisors, whose sum is σ = 8094707712. Its totient is φ = 464640000.

The previous prime is 2070551939. The next prime is 2070552013. The reversal of 2070552000 is 2550702.

2070552000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 66791985 + ... + 66792015.

It is an arithmetic number, because the mean of its divisors is an integer number (12045696).

Almost surely, 2^2070552000 is an apocalyptic number.

2070552000 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 2070552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047353856).

2070552000 is an abundant number, since it is smaller than the sum of its proper divisors (6024155712).

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

2070552000 is a wasteful number, since it uses less digits than its factorization.

2070552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 2070552000 is about 45503.3185602984. The cubic root of 2070552000 is about 1274.5651727533.

The spelling of 2070552000 in words is "two billion, seventy million, five hundred fifty-two thousand".