2400145053152 has 96 divisors (see below), whose sum is σ = 5930281050624. Its totient is φ = 928928448000.

The previous prime is 2400145053143. The next prime is 2400145053191. The reversal of 2400145053152 is 2513505410042.

2400145053152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 2853383 + ... + 3597510.

It is an arithmetic number, because the mean of its divisors is an integer number (61773760944).

Almost surely, 2^{2400145053152} is an apocalyptic number.

2400145053152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2400145053152 is an abundant number, since it is smaller than the sum of its proper divisors (3530135997472).

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

2400145053152 is a wasteful number, since it uses less digits than its factorization.

2400145053152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6451072 (or 6451064 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

It can be divided in two parts, 24001450 and 53152, that multiplied together give a square (1275725070400 = 1129480²).

The spelling of 2400145053152 in words is "two trillion, four hundred billion, one hundred forty-five million, fifty-three thousand, one hundred fifty-two".