1972402416 has 120 divisors (see below), whose sum is σ = 5674949280. Its totient is φ = 639129600.

The previous prime is 1972402379. The next prime is 1972402447. The reversal of 1972402416 is 6142042791.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 2591476 + ... + 2592236.

It is an arithmetic number, because the mean of its divisors is an integer number (47291244).

Almost surely, 2^1972402416 is an apocalyptic number.

1972402416 is a gapful number since it is divisible by the number (16) 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 1972402416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837474640).

1972402416 is an abundant number, since it is smaller than the sum of its proper divisors (3702546864).

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

1972402416 is a wasteful number, since it uses less digits than its factorization.

1972402416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1972402416 is about 44411.7373675023. The cubic root of 1972402416 is about 1254.0990588933.

The spelling of 1972402416 in words is "one billion, nine hundred seventy-two million, four hundred two thousand, four hundred sixteen".