1976946048 has 1024 divisors, whose sum is σ = 8460288000. Its totient is φ = 437944320.

The previous prime is 1976946047. The next prime is 1976946079. The reversal of 1976946048 is 8406496791.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1976945985 and 1976946003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1976946047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85954165 + ... + 85954187.

It is an arithmetic number, because the mean of its divisors is an integer number (8262000).

Almost surely, 2^1976946048 is an apocalyptic number.

1976946048 is a gapful number since it is divisible by the number (18) 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 1976946048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230144000).

1976946048 is an abundant number, since it is smaller than the sum of its proper divisors (6483341952).

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

1976946048 is a wasteful number, since it uses less digits than its factorization.

1976946048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 1976946048 is about 44462.8614463802. The cubic root of 1976946048 is about 1255.0613024875.

The spelling of 1976946048 in words is "one billion, nine hundred seventy-six million, nine hundred forty-six thousand, forty-eight".