2042401920 has 256 divisors, whose sum is σ = 7164218880. Its totient is φ = 491765760.

The previous prime is 2042401871. The next prime is 2042401943. The reversal of 2042401920 is 291042402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1172250 + ... + 1173990.

It is an arithmetic number, because the mean of its divisors is an integer number (27985230).

Almost surely, 2^2042401920 is an apocalyptic number.

2042401920 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 2042401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582109440).

2042401920 is an abundant number, since it is smaller than the sum of its proper divisors (5121816960).

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

2042401920 is a wasteful number, since it uses less digits than its factorization.

2042401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2042401920 is about 45192.9410417158. The cubic root of 2042401920 is about 1268.7627026158.

The spelling of 2042401920 in words is "two billion, forty-two million, four hundred one thousand, nine hundred twenty".