2768970451520 has 448 divisors, whose sum is σ = 8246032865280. Its totient is φ = 862284054528.

The previous prime is 2768970451517. The next prime is 2768970451543. The reversal of 2768970451520 is 251540798672.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2768970451520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 729250262 + ... + 729254058.

It is an arithmetic number, because the mean of its divisors is an integer number (18406323360).

Almost surely, 2^{2768970451520} is an apocalyptic number.

2768970451520 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 2768970451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123016432640).

2768970451520 is an abundant number, since it is smaller than the sum of its proper divisors (5477062413760).

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

2768970451520 is a wasteful number, since it uses less digits than its factorization.

2768970451520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4230 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 56.

The spelling of 2768970451520 in words is "two trillion, seven hundred sixty-eight billion, nine hundred seventy million, four hundred fifty-one thousand, five hundred twenty".