2428250711040 has 3696 divisors, whose sum is σ = 11900093076864. Its totient is φ = 468202291200.

The previous prime is 2428250711027. The next prime is 2428250711119. The reversal of 2428250711040 is 401170528242.

2428250711040 is a `hidden beast` number, since 2 + 42 + 8 + 2 + 507 + 1 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3696).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2428250710986 and 2428250711004.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 34200714205 + ... + 34200714275.

Almost surely, 2^{2428250711040} is an apocalyptic number.

2428250711040 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 2428250711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5950046538432).

2428250711040 is an abundant number, since it is smaller than the sum of its proper divisors (9471842365824).

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

2428250711040 is a wasteful number, since it uses less digits than its factorization.

2428250711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 2428250711040 in words is "two trillion, four hundred twenty-eight billion, two hundred fifty million, seven hundred eleven thousand, forty".