2401537840 has 80 divisors (see below), whose sum is σ = 6024489408. Its totient is φ = 885040128.

The previous prime is 2401537807. The next prime is 2401537877. The reversal of 2401537840 is 487351042.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2401537796 and 2401537805.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635637 + ... + 639403.

Almost surely, 2^2401537840 is an apocalyptic number.

2401537840 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 2401537840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3012244704).

2401537840 is an abundant number, since it is smaller than the sum of its proper divisors (3622951568).

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

2401537840 is a wasteful number, since it uses less digits than its factorization.

2401537840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406 (or 4400 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 2401537840 is about 49005.4878559534. The cubic root of 2401537840 is about 1339.1518059867.

Adding to 2401537840 its reverse (487351042), we get a palindrome (2888888882).

The spelling of 2401537840 in words is "two billion, four hundred one million, five hundred thirty-seven thousand, eight hundred forty".