2070821400 has 192 divisors, whose sum is σ = 6789446400. Its totient is φ = 520680960.

The previous prime is 2070821371. The next prime is 2070821411. The reversal of 2070821400 is 41280702.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4251957 + ... + 4252443.

It is an arithmetic number, because the mean of its divisors is an integer number (35361700).

Almost surely, 2^2070821400 is an apocalyptic number.

2070821400 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 2070821400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394723200).

2070821400 is an abundant number, since it is smaller than the sum of its proper divisors (4718625000).

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

2070821400 is a wasteful number, since it uses less digits than its factorization.

2070821400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2070821400 is about 45506.2786876712. The cubic root of 2070821400 is about 1274.6204483460.

The spelling of 2070821400 in words is "two billion, seventy million, eight hundred twenty-one thousand, four hundred".