2403252872064 has 240 divisors, whose sum is σ = 7861339091760. Its totient is φ = 728258065920.

The previous prime is 2403252872063. The next prime is 2403252872101. The reversal of 2403252872064 is 4602782523042.

2403252872064 is a `hidden beast` number, since 2 + 40 + 3 + 2 + 528 + 7 + 20 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2403252872063) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 296697 + ... + 2212359.

It is an arithmetic number, because the mean of its divisors is an integer number (32755579549).

Almost surely, 2^{2403252872064} is an apocalyptic number.

2403252872064 is a gapful number since it is divisible by the number (24) 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 2403252872064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930669545880).

2403252872064 is an abundant number, since it is smaller than the sum of its proper divisors (5458086219696).

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

2403252872064 is a wasteful number, since it uses less digits than its factorization.

2403252872064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915711 (or 1915679 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 2403252872064 in words is "two trillion, four hundred three billion, two hundred fifty-two million, eight hundred seventy-two thousand, sixty-four".