2401989408 has 216 divisors, whose sum is σ = 8557740828. Its totient is φ = 633443328.

The previous prime is 2401989397. The next prime is 2401989439. The reversal of 2401989408 is 8049891042.

It can be written as a sum of positive squares in 2 ways, for example, as 2398256784 + 3732624 = 48972^2 + 1932^2 .

It is a super-2 number, since 2×2401989408² = 11539106232288380928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 176910 + ... + 190002.

Almost surely, 2^2401989408 is an apocalyptic number.

2401989408 is a gapful number since it is divisible by the number (28) 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 2401989408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4278870414).

2401989408 is an abundant number, since it is smaller than the sum of its proper divisors (6155751420).

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

2401989408 is a wasteful number, since it uses less digits than its factorization.

2401989408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13136 (or 13118 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2401989408 is about 49010.0949601202. The cubic root of 2401989408 is about 1339.2357355692.

The spelling of 2401989408 in words is "two billion, four hundred one million, nine hundred eighty-nine thousand, four hundred eight".