2400142528 has 56 divisors (see below), whose sum is σ = 5447885472. Its totient is φ = 1027743744.

The previous prime is 2400142523. The next prime is 2400142559. The reversal of 2400142528 is 8252410042.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2400142496 and 2400142505.

It is not an unprimeable number, because it can be changed into a prime (2400142523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1017126 + ... + 1019482.

Almost surely, 2^2400142528 is an apocalyptic number.

2400142528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2400142528 is an abundant number, since it is smaller than the sum of its proper divisors (3047742944).

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

2400142528 is a wasteful number, since it uses less digits than its factorization.

2400142528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4649 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 2400142528 is about 48991.2495043758. The cubic root of 2400142528 is about 1338.8924032340.

The spelling of 2400142528 in words is "two billion, four hundred million, one hundred forty-two thousand, five hundred twenty-eight".