1978540032 has 336 divisors, whose sum is σ = 6454639872. Its totient is φ = 536739840.

The previous prime is 1978540027. The next prime is 1978540049. The reversal of 1978540032 is 2300458791.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×1978540032³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37330918 + ... + 37330970.

Almost surely, 2^1978540032 is an apocalyptic number.

1978540032 is a gapful number since it is divisible by the number (12) 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 1978540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227319936).

1978540032 is an abundant number, since it is smaller than the sum of its proper divisors (4476099840).

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

1978540032 is an equidigital number, since it uses as much as digits as its factorization.

1978540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1978540032 is about 44480.7827269260. The cubic root of 1978540032 is about 1255.3985246736.

The spelling of 1978540032 in words is "one billion, nine hundred seventy-eight million, five hundred forty thousand, thirty-two".