2519428401 has 32 divisors (see below), whose sum is σ = 4289587200. Its totient is φ = 1431611280.

The previous prime is 2519428381. The next prime is 2519428427. The reversal of 2519428401 is 1048249152.

2519428401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2519428401 - 2¹³ = 2519420209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2519420401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3405 + ... + 71066.

It is an arithmetic number, because the mean of its divisors is an integer number (134049600).

Almost surely, 2^2519428401 is an apocalyptic number.

2519428401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2519428401 is a deficient number, since it is larger than the sum of its proper divisors (1770158799).

2519428401 is a wasteful number, since it uses less digits than its factorization.

2519428401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74666 (or 74660 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2519428401 is about 50193.9080068488. The cubic root of 2519428401 is about 1360.7155261975.

The spelling of 2519428401 in words is "two billion, five hundred nineteen million, four hundred twenty-eight thousand, four hundred one".