1970906580 has 90 divisors (see below), whose sum is σ = 6188417466. Its totient is φ = 525098592.

The previous prime is 1970906573. The next prime is 1970906599. The reversal of 1970906580 is 856090791.

It can be written as a sum of positive squares in only one way, i.e., 1576725264 + 394181316 = 39708^2 + 19854^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1786309 + ... + 1787411.

Almost surely, 2^1970906580 is an apocalyptic number.

1970906580 is a gapful number since it is divisible by the number (10) 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 1970906580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094208733).

1970906580 is an abundant number, since it is smaller than the sum of its proper divisors (4217510886).

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

1970906580 is an equidigital number, since it uses as much as digits as its factorization.

1970906580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 1970906580 is about 44394.8936252808. The cubic root of 1970906580 is about 1253.7819496786.

Multiplying 1970906580 by its sum of digits (45), we get a square (88690796100 = 297810²).

1970906580 divided by its sum of digits (45) gives a square (43797924 = 6618²).

The spelling of 1970906580 in words is "one billion, nine hundred seventy million, nine hundred six thousand, five hundred eighty".