2938455563040 has 384 divisors, whose sum is σ = 10671505125120. Its totient is φ = 754546212864.

The previous prime is 2938455563033. The next prime is 2938455563047. The reversal of 2938455563040 is 403655548392.

It is a happy number.

2938455563040 is a `hidden beast` number, since 2 + 9 + 3 + 8 + 45 + 556 + 3 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2938455563033) and next prime (2938455563047).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2938455563047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15409719 + ... + 15599241.

It is an arithmetic number, because the mean of its divisors is an integer number (27790377930).

Almost surely, 2^{2938455563040} is an apocalyptic number.

2938455563040 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 2938455563040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5335752562560).

2938455563040 is an abundant number, since it is smaller than the sum of its proper divisors (7733049562080).

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

2938455563040 is a wasteful number, since it uses less digits than its factorization.

2938455563040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189681 (or 189667 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 2938455563040 in words is "two trillion, nine hundred thirty-eight billion, four hundred fifty-five million, five hundred sixty-three thousand, forty".