2070938880 has 288 divisors, whose sum is σ = 7589944320. Its totient is φ = 534159360.

The previous prime is 2070938813. The next prime is 2070938897. The reversal of 2070938880 is 888390702.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1070394 + ... + 1072326.

Almost surely, 2^2070938880 is an apocalyptic number.

2070938880 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 2070938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794972160).

2070938880 is an abundant number, since it is smaller than the sum of its proper divisors (5519005440).

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

2070938880 is a wasteful number, since it uses less digits than its factorization.

2070938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2070938880 is about 45507.5694802524. The cubic root of 2070938880 is about 1274.6445514352.

The spelling of 2070938880 in words is "two billion, seventy million, nine hundred thirty-eight thousand, eight hundred eighty".